scholarly journals Nikishin systems on star-like sets: algebraic properties and weak asymptotics of the associated multiple orthogonal polynomials

2018 ◽  
Vol 209 (7) ◽  
pp. 1051-1088 ◽  
Author(s):  
A. López-García ◽  
E. Miña-Díaz
Keyword(s):  
Orthogonal Polynomials ◽  
Algebraic Properties ◽  
Multiple Orthogonal Polynomials ◽  
Weak Asymptotics

scholarly journals On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials

2017 ◽  
Vol 72 (3) ◽  
pp. 389-449 ◽  
Author(s):  
A I Aptekarev ◽  
G López Lagomasino ◽  
A Martínez-Finkelshtein
Keyword(s):  
Orthogonal Polynomials ◽  
Multiple Orthogonal Polynomials ◽  
Weak Asymptotics

scholarly journals Strong asymptotics for the Pollaczek multiple orthogonal polynomials

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

Multiple Orthogonal Polynomials on the Unit Circle

2007 ◽  
Vol 28 (2) ◽  
pp. 173-197 ◽  
Author(s):  
Judit Minguez Ceniceros ◽  
Walter Van Assche
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Multiple Orthogonal Polynomials

scholarly journals A Christoffel–Darboux formula for multiple orthogonal polynomials

2004 ◽  
Vol 130 (2) ◽  
pp. 190-202 ◽  
Author(s):  
E. Daems ◽  
A.B.J. Kuijlaars
Keyword(s):  
Orthogonal Polynomials ◽  
Multiple Orthogonal Polynomials

scholarly journals Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials

2019 ◽  
Vol 373 (2) ◽  
pp. 875-917 ◽  
Author(s):  
Alexander I. Aptekarev ◽  
Sergey A. Denisov ◽  
Maxim L. Yattselev
Keyword(s):  
Orthogonal Polynomials ◽  
Jacobi Matrices ◽  
Multiple Orthogonal Polynomials

scholarly journals Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 818 ◽  
Author(s):  
Alejandro Arceo ◽  
Luis E. Garza ◽  
Gerardo Romero
Keyword(s):  
Orthogonal Polynomials ◽  
Robust Stability ◽  
Equations Of Motion ◽  
Hurwitz Polynomials ◽  
Algebraic Properties

In this contribution, we consider sequences of orthogonal polynomials associated with a perturbation of some classical weights consisting of the introduction of a parameter t, and deduce some algebraic properties related to their zeros, such as their equations of motion with respect to t. These sequences are later used to explicitly construct families of polynomials that are stable for all values of t, i.e., robust stability on these families is guaranteed. Some illustrative examples are presented.

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