Cargando…
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...
Autores principales: | , |
---|---|
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 |
_version_ | 1785048496364060672 |
---|---|
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. |
format | Online Article Text |
id | pubmed-10217270 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT minchao orthogonalpolynomialswithsingularlyperturbedfreudweights AT wangliwei orthogonalpolynomialswithsingularlyperturbedfreudweights |