Mikhail Tyaglov

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All published works

Action	Title	Year	Authors
+	Some Generalizations of the Hawaii Conjecture and Beyond	2025	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+ PDF Chat	$a$-potent Schwarz matrices and Bessel-like Jacobi polynomials	2024	Alexander Dyachenko Carlos M. da Fonseca Mikhail Tyaglov
+ PDF Chat	On the number of real zeroes of a homogeneous differential polynomial and a generalization of the Hawaii conjecture	2024	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+	A generalized Hermite–Biehler theorem and non-Hermitian perturbations of Jacobi matrices	2024	Rostyslav Kozhan Mikhail Tyaglov
+ PDF Chat	On the spectrum of tridiagonal matrices with two-periodic main diagonal	2024	Alexander Dyachenko Mikhail Tyaglov
+	A generalized Hermite-Biehler theorem	2023	Rostyslav Kozhan Mikhail Tyaglov
+	Integral Laplacian graphs with a unique double Laplacian eigenvalue, II	2023	Abdul Hameed Mikhail Tyaglov
+ PDF Chat	Integral Laplacian graphs with a unique repeated Laplacian eigenvalue, I	2023	Abdul Hameed Mikhail Tyaglov
+	Laplacian energy and first Zagreb index of Laplacian integral graphs	2022	Abdul Hameed Zia Ullah Khan Mikhail Tyaglov
+	Integral Laplacian graphs with a unique double Laplacian eigenvalue, I	2022	Abdul Hameed Mikhail Tyaglov
+	A note on tridiagonal matrices with zero main diagonal	2021	Alexander Dyachenko Mikhail Tyaglov
+	Generalised Sylvester-Kac matrices generated by linear differential equations with polynomial solutions	2021	Alexander Dyachenko Mikhail Tyaglov
+	Linear differential operators with polynomial coefficients generating generalised Sylvester-Kac matrices	2021	Alexander Dyachenko Mikhail Tyaglov
+	Linear differential operators with polynomial coefficients generating generalised Sylvester-Kac matrices	2021	Alexander Dyachenko Mikhail Tyaglov
+	On the spectrum of the tridiagonal matrices with two-periodic main diagonal	2021	Alexander Dyachenko Mikhail Tyaglov
+	On the number of non-real zeroes of a homogeneous differential polynomial and a generalisation of the Laguerre inequalities	2020	Mikhail Tyaglov Mohamed Jalel Atia
+ PDF Chat	Hermite-Poulain Theorems for Linear Finite Difference Operators	2020	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+	Complementary Romanovski–Routh Polynomials, Orthogonal Polynomials on the Unit Circle, and Extended Coulomb Wave Functions	2020	Andrei Martı́nez-Finkelshtein Luana L. Silva Ribeiro A. Sri Ranga Mikhail Tyaglov
+	Hermite-Poulain theorems for linear finite difference operators	2019	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+	On the number of non-real zeroes of a homogeneous differential polynomial and a generalization of the Laguerre inequalities	2019	Mikhail Tyaglov Mohamed Jalel Atia
+	Hermite-Poulain theorems for linear finite difference operators	2019	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+	Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions	2018	Andrei Martı́nez-Finkelshtein Luana L. Silva Ribeiro A. Sri Ranga Mikhail Tyaglov
+	Total nonnegativity of finite Hurwitz matrices and root location of polynomials	2018	Mohammad Adm Jürgen Garloff Mikhail Tyaglov
+	Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions	2018	Andrei Martı́nez-Finkelshtein Luana L. Silva Ribeiro A. Sri Ranga Mikhail Tyaglov
+	Linear finite difference operators with constant coefficients and distribution of zeros of polynomials	2018	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+ PDF Chat	Linear finite difference operators preserving the Laguerre–Pólya class	2017	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+	Total nonnegativity of finite Hurwitz matrices and root location of polynomials	2017	Mohammad Adm Jürgen Garloff Mikhail Tyaglov
+	Self-interlacing polynomials	2017	Mikhail Tyaglov
+ PDF Chat	Self-interlacing polynomials II: Matrices with self-interlacing spectrum	2017	Mikhail Tyaglov
+	Total nonnegativity of finite Hurwitz matrices and root location of polynomials	2017	Mohammad Adm Jürgen Garloff Mikhail Tyaglov
+	Self-interlacing polynomials II: Matrices with self-interlacing spectrum	2016	Mikhail Tyaglov
+	Circulants and critical points of polynomials	2016	Olga Y. Kushel Mikhail Tyaglov
+	Linear finite difference operators preserving Laguerre-Pólya class	2016	Olga Katkova Mikhail Tyaglov Anna Vishnyakova
+	Self-interlacing polynomials II: Matrices with self-interlacing spectrum	2016	Mikhail Tyaglov
+	Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices	2013	Natália Bebiano Mikhail Tyaglov
+	Szegő’s theorem for matrix orthogonal polynomials	2012	Maxim Derevyagin Olga Holtz Sergey Khrushchev Mikhail Tyaglov
+ PDF Chat	On the spectra of Schwarz matrices with certain sign patterns	2012	Mikhail Tyaglov
+ PDF Chat	Structured Matrices, Continued Fractions, and Root Localization of Polynomials	2012	Olga Holtz Mikhail Tyaglov
+ PDF Chat	Sign patterns of the Schwarz matrices and generalized Hurwitz polynomials	2012	Mikhail Tyaglov
+ PDF Chat	On the number of real critical points of logarithmic derivatives and the Hawaii conjecture	2011	Mikhail Tyaglov
+	Hurwitz rational functions	2011	Yury S. Barkovsky Mikhail Tyaglov
+ PDF Chat	Maximal univalent disks of real rational functions and Hermite-Biehler polynomials	2010	Vladimir Petrov Kostov Boris Shapiro Mikhail Tyaglov
+	Generalized Hurwitz polynomials	2010	Mikhail Tyaglov
+	Generalized Hurwitz polynomials	2010	Mikhail Tyaglov
+	Distribution of Real Critical Points of Logarithmic Derivatives of Real Entire Functions	2009	Mikhail Tyaglov

Common Coauthors

Coauthor	Papers Together
Olga Katkova	8
Anna Vishnyakova	8
Alexander Dyachenko	7
Abdul Hameed	4
Luana L. Silva Ribeiro	3
A. Sri Ranga	3
Andrei Martı́nez-Finkelshtein	3
Jürgen Garloff	3
Mohammad Adm	3
Mohamed Jalel Atia	2
Olga Holtz	2
Rostyslav Kozhan	2
Zia Ullah Khan	1
Vladimir Petrov Kostov	1
Yury S. Barkovsky	1
Carlos M. da Fonseca	1
Natália Bebiano	1
Boris Shapiro	1
Olga Y. Kushel	1
Maxim Derevyagin	1
Hameed Abdul	1
Tyaglov Mikhail	1
Sergey Khrushchev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations	1981	M. Г. Крейн M. A. Naĭmark	9
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин	9
+ PDF Chat	Structured Matrices, Continued Fractions, and Root Localization of Polynomials	2012	Olga Holtz Mikhail Tyaglov	8
+	Polynomials, roots, and interlacing	2006	Steve Fisk	6
+	Lectures on the Routh-Hurwitz problem	2008	Yury S. Barkovsky	6
+	Analytic Theory of Continued Fractions	1967	H. S. Wall	6
+	Über zwei Arten von Faktorenfolgen in der Theorie der algebraischen Gleichungen.	1914	J. Schur G. PɃlya	6
+	The inverse eigenvalue problem for symmetric anti-bidiagonal matrices	2005	Olga Holtz	6
+	None	2004	Julius Borcea Boris Shapiro	5
+	On the Total Nonnegativity of the Hurwitz Matrix	1970	Bernard A. Asner	5
+ PDF Chat	The generalized Laguerre inequalities and functions in the Laguerre-Pólya class	2013	George Csordás Anna Vishnyakova	5
+	Zeros of the Wronskian of a polynomial	1991	Karl Dilcher Kenneth B Stolarsk	5
+	A Hurwitz Matrix is Totally Positive	1982	J. H. B. Kemperman	5
+	Hermite–Biehler, Routh–Hurwitz, and total positivity	2003	Olga Holtz	4
+	Elements of Polya-Schur theory in finite difference setting	2012	Petter Brändén Ilia Krasikov Boris Shapiro	4
+	Analytic Theory of Polynomials	2002	Q I Rahman Gerhard Schmeißer	4
+	Non-Real Zeros of Derivatives of Real Entire Functions and Some Pólya-Wiman Conjectures	2000	Stephanie Edwards Simon Hellerstein	4
+	The Zeros of Derivatives of Entire Functions and the Pólya-Wiman Conjecture	1987	Thomas C. Craven George Csordás Wayne Smith	4
+	Polynomials Whose Zeros Have Negative Real Parts	1945	H. S. Wall	4
+	Real Wronskian zeros of polynomials with nonreal zeros	1991	Karl Dilcher	4
+	Linear operators and the distribution of zeros of entire funtions	2006	George Csordás	4
+	Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems	2002	Felix R. Gantmacher M. Г. Крейн	4
+ PDF Chat	Multiplier sequences and logarithmic mesh	2010	Olga Katkova Boris Shapiro Anna Vishnyakova	4
+ PDF Chat	Pólya-Schur master theorems for circular domains and their boundaries	2009	Julius Borcea Petter Brändén	3
+ PDF Chat	On some Properties of certain Solutions of a Differential Equation of the Second Order	1884	Edward John Routh	3
+ PDF Chat	Turán type inequalities for regular Coulomb wave functions	2015	Árpád Baricz	3
+	LEVEL SETS OF REAL ENTIRE FUNCTIONS AND THE LAGUERRE INEQUALITIES	1992	George Csordás Wayne Smith Richard S. Varga	3
+	Necessary and sufficient conditions and the Riemann hypothesis	1990	George Csordás Richard S. Varga	3
+	Classical and Quantum Orthogonal Polynomials in One Variable	2005	Mourad E. H. Ismail	3
+ PDF Chat	The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications	2009	Julius Borcea Petter Brändén	3
+	Generalized Hurwitz polynomials	2010	Mikhail Tyaglov	3
+	Numerical Treatment of Coulomb Wave Functions	1955	Carl-Erik Fröberg	3
+ PDF Chat	The Laguerre inequality and the distribution of zeros of entire functions	2005	George Csordás Alain Escassut	3
+	On the Zeros of the Generating Functions of Multiply Positive Sequences and Functions	1955	I. J. Schoenberg	3
+ PDF Chat	Error analysis for the computation of zeros of regular Coulomb wave function and its first derivative	2000	Yoshinori Miyazaki Yasushi Kikuchi Dongsheng Cai Yasuhiko Ikebe	3
+	Confluent Hypergeometric Functions	2008	L. J. Slater	3
+ PDF Chat	Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix	2015	Emrah Kılıç Talha Arıkan	3
+	Sylvester-tridiagonal Matrix with Alternating Main Diagonal Entries and its Spectra	2013	Emrah Kılıç	3
+	Generalized Orthogonality and Continued Fractions	1995	Mourad E. H. Ismail David R. Masson	3
+	The roots of trigonometric integrals	1950	N.G. de Bruijn	3
+	Szegő polynomials from hypergeometric functions	2010	A. Sri Ranga	3
+	Computational properties of three-term recurrence relations for Kummer functions	2009	Alfredo Deaño Javier Segura Nico Μ. Τemme	3
+ PDF Chat	Jensen polynomials and the Turán and Laguerre inequalities	1989	Thomas C. Craven George Csordás	3
+	The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis	1991	George Csordás Arden Ruttan R. S. Varga	3
+	Computational Aspects of Three-Term Recurrence Relations	1967	Walter Gautschi	3
+ PDF Chat	Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas	2016	Cleonice F. Bracciali A. Sri Ranga A. Swaminathan	3
+	Level Sets, a Gauss-Fourier Conjecture, and a Counter-Example to a Conjecture of Borcea and Shapiro	2011	Stephanie Edwards A. Hinkkanen	3
+	Shifted Hermite-Biehler Functions and Their Applications	2006	Vyacheslav Pivovarchik Harald Woracek	3
+ PDF Chat	The zeros of regular Coulomb wave functions and of their derivatives	1975	Yasuhiko Ikebe	3
+	Sur un théorème de M. Marcel Riesz	1925	A. Stoyanoff	3