Characterization of q-Dunkl-classical symmetric orthogonal q-polynomials

被引：0
作者：
Baghdadi Aloui
Jihad Souissi
机构：
[1] Gabes University,Department of Electromechanics, Higher Institute of Industrial Systems of Gabes
[2] Gabes University,Department of Mathematics, Faculty of Sciences of Gabes
来源：
The Ramanujan Journal | 2022年 / 57卷
关键词：
Orthogonal polynomials; Symmetric orthogonal polynomials; -Dunkl operator; -Analogue of generalized Hermite polynomials; -Analogue of generalized Gegenbauer polynomials; Primary 33C45; Secondary 42C05.;
D O I：
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学科分类号：
摘要：
In this paper, we show that, up to a dilatation, the q2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q^2$$\end{document}-analogue of generalized Hermite and q2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q^2$$\end{document}-analogue of generalized Gegenbauer polynomials are the only q-Dunkl-classical symmetric orthogonal polynomials.
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页码：1355 / 1365
页数：10
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