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Elliptic hypergeometric functions: integrals versus series
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2024
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V. P. Spiridonov
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+
PDF
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Complex binomial theorem and pentagon identities
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2024
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N. M. Belousov
Gor Sarkissian
V. P. Spiridonov
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+
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Complex and rational hypergeometric functions on root systems
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2024
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Gor Sarkissian
V. P. Spiridonov
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+
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Weak supersymmetry and superconformal indices
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2024
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V. P. Spiridonov
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Complex and rational hypergeometric functions on root systems
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2024
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Gor Sarkissian
V. P. Spiridonov
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PDF
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Variations of supersymmetric quantum mechanics and superconformal
indices
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2024
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V. P. Spiridonov
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Variations of supersymmetric quantum mechanics and superconformal indices
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2024
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V. P. Spiridonov
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An extended scheme of classical special functions
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2024
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V. P. Spiridonov
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Supersymmetric Liouville Field Theory and Racah–Wigner Symbols
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2023
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Elena Apresyan
Gor Sarkissian
V. P. Spiridonov
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Solitons and normal random matrices
|
2023
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Igor Loutsenko
V. P. Spiridonov
Oksana Yermolayeva
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Elliptic and Complex Hypergeometric Integrals in Quantum Field Theory
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2023
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Gor Sarkissian
V. P. Spiridonov
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A parafermionic hypergeometric function and supersymmetric 6j-symbols
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2023
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Elena Apresyan
Gor Sarkissian
V. P. Spiridonov
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Infinite elliptic hypergeometric series: convergence and difference equations
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2023
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Danil Krotkov
V. P. Spiridonov
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Бесконечные эллиптические гипергеометрические ряды: сходимость и разностные уравнения
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2023
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Danil Krotkov
V. P. Spiridonov
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Infinite elliptic hypergeometric series: convergence and difference equations
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2023
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Danil Krotkov
V. P. Spiridonov
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Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group
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2022
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S. É. Derkachov
Gor Sarkissian
V. P. Spiridonov
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Эллиптическая гипергеометрическая функция и $6j$-символы для группы $SL(2,\mathbb C)$
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2022
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Sergei Eduardovich Derkachov
Gor Sarkissian
V. P. Spiridonov
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Superpositions of coherent states determined by Gauss sums
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2022
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V. P. Spiridonov
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PDF
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Суперпозиции когерентных состояний, определяемые суммами Гаусса
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2022
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Вячеслав Павлович Спиридонов
V. P. Spiridonov
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PDF
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Complex hypergeometric functions and integrable many-body problems
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2022
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Gor Sarkissian
V. P. Spiridonov
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Elliptic, hyperbolic, complex gamma functions and QFT in various dimensions
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2022
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Gor Sarkissian
V. P. Spiridonov
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A parafermionic hypergeometric function and supersymmetric 6j-symbols
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2022
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Elena Apresyan
Gor Sarkissian
V. P. Spiridonov
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PDF
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Superpositions of coherent states determined by Gauss sums
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2021
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V. P. Spiridonov
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+
PDF
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Rational Hypergeometric Identities
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2021
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Gor Sarkissian
V. P. Spiridonov
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PDF
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Self-Similar Potentials in Quantum Mechanics and Coherent States
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2021
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V. P. Spiridonov
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PDF
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Рациональные гипергеометрические тождества
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2021
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Gor Sarkissian
V. P. Spiridonov
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Rational hypergeometric identities.
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2020
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Gor Sarkissian
V. P. Spiridonov
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+
PDF
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Superconformal Indices, Seiberg Dualities and Special Functions
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2020
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V. P. Spiridonov
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+
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The modular group and a hyperbolic beta integral
|
2020
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Gor Sarkissian
V. P. Spiridonov
|
+
PDF
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General Modular Quantum Dilogarithm and Beta Integrals
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2020
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Gor Sarkissian
V. P. Spiridonov
|
+
PDF
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Introduction to the Theory of Elliptic Hypergeometric Integrals
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2020
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V. P. Spiridonov
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PDF
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The rarefied elliptic Bailey lemma and the Yang–Baxter equation
|
2019
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V. P. Spiridonov
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The 6j-Symbols for the SL(2, ℂ) Group
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2019
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S. É. Derkachov
V. P. Spiridonov
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PDF
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Matrix Bailey Lemma and the Star-Triangle Relation
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2018
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Kamil Yu. Magadov
V. P. Spiridonov
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PDF
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From rarefied elliptic beta integral to parafermionic star-triangle relation
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2018
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Gor Sarkissian
V. P. Spiridonov
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+
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Rarefied elliptic hypergeometric functions
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2018
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V. P. Spiridonov
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PDF
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4d $$ \mathcal{N} $$ = 1 quiver gauge theories and the An Bailey lemma
|
2018
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Frederic Brünner
V. P. Spiridonov
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On the 6j-symbols for SL(2,C) group
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2017
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S. É. Derkachov
V. P. Spiridonov
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Supersymmetric Casimir energy and S L 3 ℤ $$ \mathrm{S}\mathrm{L}\left(3,\mathrm{\mathbb{Z}}\right) $$ transformations
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2017
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Frederic Brünner
Diego Regalado
V. P. Spiridonov
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On the 6j-symbols for SL(2,C) group
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2017
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S. É. Derkachov
V. P. Spiridonov
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A duality web of linear quivers
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2016
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Frederic Brünner
V. P. Spiridonov
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PDF
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The hyperbolic modular double and Yang-Baxter equation
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2016
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Dmitry Chicherin
V. P. Spiridonov
|
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PDF
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New Elliptic Solutions of the Yang–Baxter Equation
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2016
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Dmitry Chicherin
S. É. Derkachov
V. P. Spiridonov
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Rarefied elliptic hypergeometric functions
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2016
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V. P. Spiridonov
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PDF
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The star-triangle relation and 3d superconformal indices
|
2015
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Ilmar Gahramanov
V. P. Spiridonov
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Конечномерные представления эллиптического модулярного дубля
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2015
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Sergei Eduardovich Derkachov
V. P. Spiridonov
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PDF
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Finite-dimensional representations of the elliptic modular double
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2015
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S. É. Derkachov
V. P. Spiridonov
|
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PDF
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Vanishing superconformal indices and the chiral symmetry breaking
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2014
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V. P. Spiridonov
G. S. Vartanov
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PDF
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Yang-Baxter equation, parameter permutations, and the elliptic beta integral
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2013
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Сергей Эдуардович Деркачев
V. P. Spiridonov
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Modified Elliptic Gamma Functions and 6d Superconformal Indices
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2013
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V. P. Spiridonov
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PDF
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Elliptic Hypergeometry of Supersymmetric Dualities II. Orthogonal Groups, Knots, and Vortices
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2013
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V. P. Spiridonov
G. S. Vartanov
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+
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Aspects of elliptic hypergeometric functions
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2013
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V. P. Spiridonov
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+
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Finite-dimensional representations of the elliptic modular double
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2013
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S. É. Derkachov
V. P. Spiridonov
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Уравнение Янга - Бакстера, перестановки параметров и эллиптический бета-интеграл
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2013
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Сергей Эдуардович Деркачев
Сергей Эдуардович Деркачев
Вячеслав Павлович Спиридонов
V. P. Spiridonov
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+
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New multiple 6 ψ 6 summation formulas and related conjectures
|
2013
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V. P. Spiridonov
S. Ole Warnaar
|
+
PDF
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Elliptic hypergeometric integrals and ’t Hooft anomaly matching conditions
|
2012
|
V. P. Spiridonov
G. S. Vartanov
|
+
PDF
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Elliptic beta integrals and solvable models of statistical mechanics
|
2012
|
V. P. Spiridonov
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+
PDF
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Superconformal Indices of $${{\mathcal N}=4}$$ SYM Field Theories
|
2011
|
V. P. Spiridonov
G. S. Vartanov
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PDF
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From 4d superconformal indices to 3d partition functions
|
2011
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F.A. Dolan
V. P. Spiridonov
G. S. Vartanov
|
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Superconformal indices of three-dimensional theories related by mirror symmetry
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2011
|
Christian Krattenthaler
V. P. Spiridonov
G. S. Vartanov
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+
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New multiple 6 ψ 6 summation formulas and related conjectures
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2011
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V. P. Spiridonov
S. Ole Warnaar
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+
PDF
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Elliptic Hypergeometry of Supersymmetric Dualities
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2011
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V. P. Spiridonov
G. S. Vartanov
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+
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Elliptic beta integrals and solvable models of statistical mechanics
|
2010
|
V. P. Spiridonov
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PDF
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Supersymmetric Dualities beyond the Conformal Window
|
2010
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V. P. Spiridonov
G. S. Vartanov
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+
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Elliptic hypergeometric terms
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2010
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V. P. Spiridonov
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+
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Elliptic beta integrals and solvable models of statistical mechanics
|
2010
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V. P. Spiridonov
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PDF
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Determinants of elliptic hypergeometric integrals
|
2009
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Eric M. Rains
V. P. Spiridonov
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Superconformal indices for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math> theories with multiple duals
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2009
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V. P. Spiridonov
G. S. Vartanov
|
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PDF
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Continuous biorthogonality of an elliptic hypergeometric function
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2009
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V. P. Spiridonov
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PDF
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Определители эллиптических гипергеометрических интегралов
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2009
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Эрик М Райнс
Eric M. Rains
Вячеслав Павлович Спиридонов
V. P. Spiridonov
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Proceedings of the Workshop “Elliptic Integrable Systems, Isomonodromy Problems, and Hypergeometric Functions” (July 21-25, 2008, MPIM, Bonn, Germany)
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2009
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V. P. Spiridonov
Masatoshi Noumi
Eric M. Rains
Hjalmar Rosengren
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+
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Superconformal indices for ${\mathcal N}=1$ theories with multiple duals
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2008
|
V. P. Spiridonov
G. S. Vartanov
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+
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Essays on the theory of elliptic hypergeometric functions
|
2008
|
V. P. Spiridonov
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+
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q-Oscillator realizations of the quantum superalgebras sl q (m, n)andosp q (m, 2n)
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2008
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Roberto Floreanini
V. P. Spiridonov
Luc Vinet
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+
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Continuous biorthogonality of the elliptic hypergeometric function
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2008
|
V. P. Spiridonov
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Очерки теории эллиптических гипергеометрических функций
|
2008
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Вячеслав Павлович Спиридонов
V. P. Spiridonov
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+
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Toda chain, Stieltjes function, and orthogonal polynomials
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2007
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Franz Peherstorfer
V. P. Spiridonov
Alexei Zhedanov
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+
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Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials
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2007
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V. P. Spiridonov
Satoshi Tsujimoto
Alexei Zhedanov
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+
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Elliptic hypergeometric functions and Calogero-Sutherland-type models
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2007
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V. P. Spiridonov
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+
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Elliptic hypergeometric functions
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2007
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V. P. Spiridonov
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+
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Эллиптические гипергеометрические функции и модели типа Калоджеро - Сазерленда
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2007
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Вячеслав Павлович Спиридонов
V. P. Spiridonov
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Цепочка Тоды, функция Стилтьеса и ортогональные полиномы
|
2007
|
Франц Пехерсторфер
Franz Peherstorfer
Вячеслав Павлович Спиридонов
V. P. Spiridonov
Алексей Сергеевич Жеданов
Алексей Сергеевич Жеданов
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+
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Determinants of elliptic hypergeometric integrals
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2007
|
Eric M. Rains
V. P. Spiridonov
|
+
PDF
Chat
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Short proofs of the elliptic beta integrals
|
2006
|
V. P. Spiridonov
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+
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Elliptic grids, rational functions, and the Padé interpolation
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2006
|
V. P. Spiridonov
Alexei Zhedanov
|
+
PDF
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A multiparameter summation formula for Riemann theta functions
|
2006
|
V. P. Spiridonov
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+
PDF
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Inversions of integral operators and elliptic beta integrals on root systems
|
2005
|
V. P. Spiridonov
S. Ole Warnaar
|
+
PDF
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Unit Circle Elliptic Beta Integrals
|
2005
|
J. F. van Diejen
V. P. Spiridonov
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+
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Classical elliptic hypergeometric functions and their applications
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2005
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V. P. Spiridonov
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+
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Classical elliptic hypergeometric functions and their applications
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2005
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V. P. Spiridonov
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+
PDF
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Theta hypergeometric integrals
|
2004
|
V. P. Spiridonov
|
+
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Poisson algebras for some generalized eigenvalue problems
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2004
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V. P. Spiridonov
Alexei Zhedanov
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+
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A multiparameter summation formula for theta functions
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2004
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V. P. Spiridonov
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+
PDF
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A Bailey Tree for Integrals
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2004
|
V. P. Spiridonov
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+
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Poisson Algebras on Elliptic Curves
|
2004
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Korovnichenko Alyona
V. P. Spiridonov
Alexei Zhedanov
|
+
PDF
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Дерево Бэйли для интегралов
|
2004
|
Вячеслав Павлович Спиридонов
V. P. Spiridonov
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+
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Inversions of integral operators and elliptic beta integrals on root systems
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2004
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V. P. Spiridonov
S. Ole Warnaar
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+
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Short proofs of the elliptic beta integrals
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2004
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V. P. Spiridonov
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+
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A multiparameter summation formula for Riemann theta functions
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2004
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V. P. Spiridonov
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To the Theory of Biorthogonal Rational Functions (可積分系研究の新展開--連続・離散・超離散 短期共同研究報告集)
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2003
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V. P. Spiridonov
Alexei Zhedanov
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+
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None
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2003
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V. P. Spiridonov
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+
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Модулярность и полная эллиптичность некоторых многократных рядов гипергеометрического типа
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2003
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Вячеслав Павлович Спиридонов
V. P. Spiridonov
Вячеслав Павлович Спиридонов
V. P. Spiridonov
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+
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Theta hypergeometric integrals
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2003
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V. P. Spiridonov
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+
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The factorization method, self-similar potentials and quantum algebras
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2003
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V. P. Spiridonov
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+
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Theta hypergeometric series
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2003
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V. P. Spiridonov
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+
PDF
Chat
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Elliptic Beta Integrals and Mudular Hypergeometric Sums: An Overview
|
2002
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J. F. van Diejen
V. P. Spiridonov
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+
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Theta Hypergeometric Series
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2002
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V. P. Spiridonov
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+
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None
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2002
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V. P. Spiridonov
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+
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On the elliptic beta function
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2001
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V. P. Spiridonov
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+
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None
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2001
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J. F. van Diejen
V. P. Spiridonov
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+
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Elliptic Beta Integrals and Special Functions of Hypergeometric Type
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2001
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V. P. Spiridonov
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+
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None
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2001
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J. va Diejen
V. P. Spiridonov
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Об эллиптической бета-функции
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2001
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Вячеслав Павлович Спиридонов
V. P. Spiridonov
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+
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Generalized Eigenvalue Problem and a New Family of Rational Functions Biorthogonal on Elliptic Grids
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2001
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V. P. Spiridonov
Alexei Zhedanov
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+
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SOLITONS AND COULOMB PLASMAS, SIMILARITY REDUCTIONS AND SPECIAL FUNCTIONS
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2000
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V. P. Spiridonov
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+
PDF
Chat
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Self-similarity in spectral problems and 𝑞-special functions
|
2000
|
Igor Loutsenko
V. P. Spiridonov
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+
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Spectral Transformation Chains and Some New Biorthogonal Rational Functions
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2000
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V. P. Spiridonov
Alexei Zhedanov
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+
PDF
Chat
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An Elliptic Macdonald-Morris Conjecture and Multiple Modular Hypergeometric Sums
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2000
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J. F. van Diejen
V. P. Spiridonov
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+
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None
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2000
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Igor Loutsenko
V. P. Spiridonov
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+
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Soliton Solutions of Integrable Hierarchies and Coulomb Plasmas
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1999
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Igor Loutsenko
V. P. Spiridonov
|
+
PDF
Chat
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𝑞-special functions: Differential-difference equations, roots of unity, and all that
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1999
|
V. P. Spiridonov
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+
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Hypergeometric biorthogonal rational functions
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1999
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Alexei Zhedanov
V. P. Spiridonov
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+
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Spectral self-similarity, one-dimensional Ising chains and random matrices
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1999
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Igor Loutsenko
V. P. Spiridonov
|
+
PDF
Chat
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Гипергеометрические биортогональные рациональные функции
|
1999
|
Алексей Сергеевич Жеданов
Алексей Сергеевич Жеданов
Вячеслав Павлович Спиридонов
V. P. Spiridonov
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+
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Soliton Solutions of Integrable Hierarchies and Coulomb Plasmas
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1999
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Igor Loutsenko
V. P. Spiridonov
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+
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Self-similarity in Spectral Problems and q-special Functions
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1999
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Igor Loutsenko
V. P. Spiridonov
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+
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Bispectrality and Darboux transformations in the theory of orthogonal polynomials
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1998
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V. P. Spiridonov
Luc Vinet
Alexei Zhedanov
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+
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Self-similar potentials and Ising models
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1997
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Igor Loutsenko
V. P. Spiridonov
|
+
PDF
Chat
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Zeros and orthogonality of the Askey-Wilson polynomials for q a root of unity
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1997
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V. P. Spiridonov
Alexei Zhedanov
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+
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Symmetries of factorization chains for the discrete Schrödinger equation
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1997
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V. P. Spiridonov
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+
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Discrete Schrödinger equation, Darboux transformations, and orthogonal polynomials
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1996
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V. P. Spiridonov
Luc Vinet
Alexey Zhedanov
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+
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Toward discrete wavelets with irrational scaling factor
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1996
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Jean‐Pierre Gazeau
V. P. Spiridonov
|
+
PDF
Chat
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q-Ultraspherical polynomials for q a root of unity
|
1996
|
V. P. Spiridonov
Alexei Zhedanov
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+
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Zeros and orthogonality of the Askey-Wilson polynomials for q a root of unity
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1996
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V. P. Spiridonov
Alexei Zhedanov
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+
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Zeros and orthogonality of the Askey-Wilson polynomials for q a root of unity
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1996
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V. P. Spiridonov
Alexei Zhedanov
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+
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Symmetry preserving quantization and self-similar potentials
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1995
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V. P. Spiridonov
Alexei Zhedanov
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+
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Coherent states of theq-Weyl algebra
|
1995
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V. P. Spiridonov
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+
PDF
Chat
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Universal superpositions of coherent states and self-similar potentials
|
1995
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V. P. Spiridonov
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+
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On the spectrum of a q-scillator with a linear interaction
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1995
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I. Lutzenko
V. P. Spiridonov
Alexei Zhedanov
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+
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Discrete Reflectionless Potentials, Quantum Algebras, and q-Orthogonal Polynomials
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1995
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V. P. Spiridonov
Alexei Zhedanov
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+
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Difference schr�dinger operators with linear and exponential discrete spectra
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1993
|
V. P. Spiridonov
Luc Vinet
Alexei Zhedanov
|
+
PDF
Chat
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Self-similar potentials and theq-oscillator algebra at roots of unity
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1993
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Sergei Skorik
V. P. Spiridonov
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Higher-derivative supersymmetry and the Witten index
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1993
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A. A. Andrianov
M. V. Ioffe
V. P. Spiridonov
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Symmetries of the Self-Similar Potentials
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1993
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V. P. Spiridonov
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Deformation of supersymmetric and conformal quantum mechanics through affine transformations
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1993
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V. P. Spiridonov
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Deformation of Supersymmetric and Conformal Quantum Mechanics Through Affine Transformations
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1992
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V. P. Spiridonov
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PDF
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Exactly solvable potentials and quantum algebras
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1992
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V. P. Spiridonov
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PDF
Chat
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DEFORMED CONFORMAL AND SUPERSYMMETRIC QUANTUM MECHANICS
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1992
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V. P. Spiridonov
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Deformation of Supersymmetric and Conformal Quantum Mechanics Through Affine Transformations
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1992
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V. P. Spiridonov
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q-Oscillator realizations of the quantum superalgebrassl q (m, n) andosp q (m, 2n)
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1991
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Roberto Floreanini
V. P. Spiridonov
Luc Vinet
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Bosonic realization of the quantum superalgebra ospq(1, 2n)
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1990
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Roberto Floreanini
V. P. Spiridonov
Luc Vinet
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PARASUPERSYMMETRIC QUANTUM MECHANICS
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1988
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V. A. Rubakov
V. P. Spiridonov
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Global symmetries of the Landau gauge
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1988
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V. P. Spiridonov
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Nonleading mass corrections and renormalization of the operators m psi-bar psi and g**2(mu nu)
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1988
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V. P. Spiridonov
K.G. Chetyrkin
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Some special features of the Landau gauge
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1987
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V. P. Spiridonov
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Wilson expansion for correlators of vector currents at the two-loop level: Dimension-four operators
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1985
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K.G. Chetyrkin
S.G. Gorishny
V. P. Spiridonov
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