Differential systems with Fuchsian linear part: Correction and linearization, normal forms and multiple orthogonal polynomials

Strong asymptotics for the Pollaczek multiple orthogonal polynomials

Doklady Mathematics ◽

10.1134/s1064562415060216 ◽

2015 ◽

Vol 92 (3) ◽

pp. 709-713

Author(s):

A. I. Aptekarev ◽

G. López Lagomasino ◽

A. Martínez-Finkelshtein

Keyword(s):

Orthogonal Polynomials ◽

Strong Asymptotics ◽

Multiple Orthogonal Polynomials on the Unit Circle

Constructive Approximation ◽

10.1007/s00365-007-0680-2 ◽

2007 ◽

Vol 28 (2) ◽

pp. 173-197 ◽

Cited By ~ 2

Author(s):

Judit Minguez Ceniceros ◽

Walter Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Unit Circle ◽

The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann–Hilbert problems

Inverse Problems ◽

10.1088/0266-5611/26/5/055009 ◽

2010 ◽

Vol 26 (5) ◽

pp. 055009 ◽

Cited By ~ 19

Author(s):

Carlos Álvarez-Fernández ◽

Ulises Fidalgo ◽

Manuel Mañas

Keyword(s):

Orthogonal Polynomials ◽

Matrix Orthogonal Polynomials ◽

Toda Hierarchy ◽

Generalized Matrix ◽

Polynomial and linearized normal forms for almost periodic differential systems

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.345 ◽

2015 ◽

Vol 36 (1) ◽

pp. 345-360

Author(s):

Hao Wu ◽

Jaume Llibre ◽

Weigu Li

Keyword(s):

Normal Forms ◽

Almost Periodic ◽

Differential Systems

A Christoffel–Darboux formula for multiple orthogonal polynomials

10.1016/j.jat.2004.07.003 ◽

2004 ◽

Vol 130 (2) ◽

pp. 190-202 ◽

Cited By ~ 34

Author(s):

E. Daems ◽

A.B.J. Kuijlaars

Keyword(s):

Orthogonal Polynomials ◽

SIDE III—Symmetries and Integrability of Difference Equations - CRM Proceedings and Lecture Notes ◽

Nonsymmetric linear difference equations for multiple orthogonal polynomials

10.1090/crmp/025/40 ◽

2000 ◽

pp. 415-429 ◽

Cited By ~ 2

Author(s):

Walter Van Assche

Keyword(s):

Orthogonal Polynomials ◽

Difference Equations ◽

Linear Difference Equations ◽

Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials

Transactions of the American Mathematical Society ◽

10.1090/tran/7959 ◽

2019 ◽

Vol 373 (2) ◽

pp. 875-917 ◽

Cited By ~ 2

Author(s):

Alexander I. Aptekarev ◽

Sergey A. Denisov ◽

Maxim L. Yattselev

Keyword(s):

Orthogonal Polynomials ◽

Jacobi Matrices ◽

Multiple orthogonal polynomials associated with confluent hypergeometric functions

10.1016/j.jat.2020.105484 ◽

2020 ◽

Vol 260 ◽

pp. 105484

Author(s):

Hélder Lima ◽

Ana Loureiro

Keyword(s):

Orthogonal Polynomials ◽

Hypergeometric Functions ◽

Confluent Hypergeometric Functions ◽

Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices

10.1016/j.jat.2016.09.002 ◽

2017 ◽

Vol 213 ◽

pp. 92-119 ◽

Cited By ~ 1

Author(s):

Lun Zhang

Keyword(s):

Orthogonal Polynomials ◽

Random Matrices ◽

Mixed Type ◽

Bessel Functions ◽

Modified Bessel Functions ◽

Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class

10.1016/j.jat.2020.105409 ◽

2020 ◽

Vol 255 ◽

pp. 105409

Author(s):

Alexander I. Aptekarev ◽

Rostyslav Kozhan

Keyword(s):

Differential Equations ◽

Orthogonal Polynomials ◽

Recurrence Coefficients ◽