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Orthogonal Polynomials with Singularly Perturbed Freud Weights

In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference equations satisfied by the recurrence coefficients...

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Detalles Bibliográficos
Autores principales: Min, Chao, Wang, Liwei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10217270/
https://www.ncbi.nlm.nih.gov/pubmed/37238584
http://dx.doi.org/10.3390/e25050829
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author Min, Chao
Wang, Liwei
author_facet Min, Chao
Wang, Liwei
author_sort Min, Chao
collection PubMed
description In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference equations satisfied by the recurrence coefficients. We also obtain the differential-difference equations and the second-order differential equations for the orthogonal polynomials, with the coefficients all expressed in terms of the recurrence coefficients.
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spelling pubmed-102172702023-05-27 Orthogonal Polynomials with Singularly Perturbed Freud Weights Min, Chao Wang, Liwei Entropy (Basel) Article In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference equations satisfied by the recurrence coefficients. We also obtain the differential-difference equations and the second-order differential equations for the orthogonal polynomials, with the coefficients all expressed in terms of the recurrence coefficients. MDPI 2023-05-22 /pmc/articles/PMC10217270/ /pubmed/37238584 http://dx.doi.org/10.3390/e25050829 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Min, Chao
Wang, Liwei
Orthogonal Polynomials with Singularly Perturbed Freud Weights
title Orthogonal Polynomials with Singularly Perturbed Freud Weights
title_full Orthogonal Polynomials with Singularly Perturbed Freud Weights
title_fullStr Orthogonal Polynomials with Singularly Perturbed Freud Weights
title_full_unstemmed Orthogonal Polynomials with Singularly Perturbed Freud Weights
title_short Orthogonal Polynomials with Singularly Perturbed Freud Weights
title_sort orthogonal polynomials with singularly perturbed freud weights
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10217270/
https://www.ncbi.nlm.nih.gov/pubmed/37238584
http://dx.doi.org/10.3390/e25050829
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