Laguerre–Hahn orthogonal polynomials on the real line-Reference-Cited by-同舟云学术

Laguerre–Hahn orthogonal polynomials on the real line

Published:2019-04-24 Issue:01 Volume:09 Page:2040001
ISSN:2010-3263
Container-title:Random Matrices: Theory and Applications
language:en
Short-container-title:Random Matrices: Theory Appl.

Author:

Rebocho Maria Das Neves¹²^ORCID

Affiliation:

1. Departamento de Matemática, Universidade da Beira Interior, Rua Marquês D’Ávila e Bolama, 6201-001 Covilhã, Portugal

2. CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal

Abstract

A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coefficients — the so-called Laguerre–Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential equations for the recurrence coefficients, and distributional equations for the corresponding linear functionals.

Publisher

World Scientific Pub Co Pte Lt

Subject

Discrete Mathematics and Combinatorics,Statistics, Probability and Uncertainty,Statistics and Probability,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010326320400018

Reference81 articles.

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