Classification of Laguerre–Hahn orthogonal polynomials of class one-Reference-Cited by-同舟云学术

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Classification of Laguerre–Hahn orthogonal polynomials of class one

Published:2019-12-27 Issue:2 Volume:293 Page:244-262
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Filipuk G.¹,Rebocho M. N.²³^ORCID

Affiliation:

1. Faculty of Mathematics, Informatics and MechanicsUniversity of WarsawBanacha 2 Warsaw 02‐097 Poland

2. Departamento de MatemáticaUniversidade da Beira InteriorRua Marquês D'Ávila e Bolama 6201‐001 Covilhã Portugal

3. CMUCDepartment of MathematicsUniversity of Coimbra3001‐501 Coimbra Portugal

Funder

Alexander von Humboldt-Stiftung

Fundação para a Ciência e a Tecnologia

Ministério da Ciência, Tecnologia e Ensino Superior

European Regional Development Fund

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.201800063

Reference30 articles.

1. Associated Laguerre and Hermite polynomials

2. Symmetric laguerre-hahn forms of classs=1

3. On semi-classical linear functionals of class s=1. Classification and integral representations

4. Laguerre-Freud′s Equations for the Recurrence Coefficients of Semi-classical Orthogonal Polynomials

5. Sylvester equations for Laguerre–Hahn orthogonal polynomials on the real line;Branquinho A.;Appl. Math. Comput.,2013

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quantum (or q$$ q $$‐) operator equations and associated partial differential equations for bivariate Laguerre polynomials with applications to the q$$ q $$‐Hille‐Hardy type formulas;Mathematical Methods in the Applied Sciences;2024-08-04

2. The symmetric D_w-Laguerre–Hahn orthogonal polynomial of class one;Integral Transforms and Special Functions;2022-07-06

3. About families of orthogonal polynomials satisfying Heun’s differential equation;Journal of Approximation Theory;2021-03

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