On some perturbed q-Laguerre–Hahn orthogonal q-polynomials

被引：0
作者：
S. Jbeli
L. Khériji
机构：
[1] Université de Tunis El Manar,
[2] Faculté des Sciences de Tunis,undefined
[3] Université de Tunis El Manar,undefined
[4] Institut Préparatoire aux Etudes d’Ingénieur El Manar,undefined
来源：
Periodica Mathematica Hungarica | 2023年 / 86卷
关键词：
Orthogonal ; -polynomials; -derivative operator; -Laguerre–Hahn character; Regular form; Standard perturbations; Primary 33C45; Secondary 42C05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Our goal is to study the multiplication by a polynomial of a Hq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_q$$\end{document}-Laguerre–Hahn form and its inverse one where Hq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_q$$\end{document} be the q-derivative operator. The class of the obtained form is discussed in detail in the two cases. Some examples in connection with the Hq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{q}$$\end{document}-semiclassical forms are highlighted.
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页码：115 / 138
页数：23
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