SU\G(𝔸)/K·U

Structural theorems for symbolic summation

Carsten Schneider

Type: Article

Publication Date: 2009-11-10

Citations: 38

DOI: https://doi.org/10.1007/s00200-009-0115-3

Locations

  • CiteSeer X (The Pennsylvania State University) - View - PDF
  • Applicable Algebra in Engineering Communication and Computing - View

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Works That Cite This (34)

Action Title Year Authors
+ Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms 2014 Jakob Ablinger
J. Blümlein
Clemens G. Raab
Carsten Schneider
F. Wißbrock
+ PDF Chat Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers 2014 Jakob Ablinger
J. Blümlein
Carsten Schneider
+ Summation Theory II: Characterizations of RΠΣ⁎-extensions and algorithmic aspects 2016 Carsten Schneider
+ PDF Chat Non-planar Feynman diagrams and Mellin-Barnes representations with AMBRE 3.0 2015 Ievgen Dubovyk
J. Gluza
T. Riemann
+ PDF Chat Calculating three loop ladder and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si157.gif" display="inline" overflow="scroll"><mml:mi>V</mml:mi></mml:math>-topologies for massive operator matrix elements by computer algebra 2016 Jakob Ablinger
Arnd Behring
J. Blümlein
A. Freitas
Andreas von Manteuffel
Carsten Schneider
+ Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations 2014 Carsten Schneider
Johannes Bluemlein
Abilio De Freitas
+ PDF Chat Towards a Symbolic Summation Theory for Unspecified Sequences 2019 Peter Paule
Carsten Schneider
+ Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering: Recent Results 2018 Johannes Bluemlein
Jakob Ablinger
Arnd Behring
Abilio De Freitas
Andreas von Manteuffel
Carsten Schneider
+ Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction 2014 Carsten Schneider
+ A difference ring theory for symbolic summation 2015 Carsten Schneider

Works Cited by This (39)

Action Title Year Authors
+ A Computer Algebra Toolbox for Harmonic Sums Related to Particle Physics 2010 Jakob Ablinger
+ Vorlesungen über Differenzenrechnung 1924 Niels Erik Nörlund
+ A Symbolic Summation Approach to Find Optimal Nested Sum Representations 2009 Carsten Schneider
+ Multibasic and Mixed Hypergeometric Gosper-Type Algorithms 1999 Andrej Bauer
Marko Petkovšek
+ PDF Chat Liouville’s theorem on functions with elementary integrals 1968 Maxwell Rosenlicht
+ Non-commutative Elimination in Ore Algebras Proves Multivariate Identities 1998 Frédéric Chyzak
Bruno Salvy
+ D'Alembertian solutions of linear differential and difference equations 1994 С. А. Абрамов
Marko Petkovšek
+ PDF Chat Symbolic summation with radical expressions 2007 Manuel Kauers
Carsten Schneider
+ Greatest Factorial Factorization and Symbolic Summation 1995 Peter Paule
+ A new Sigma approach to multi-summation 2005 Carsten Schneider