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

被引：5
|
作者：
Aloui, Baghdadi [1 ]
Souissi, Jihad [2 ]
机构：
[1] Gabes Univ, Higher Inst Ind Syst Gabes, Dept Electromech, St Salah Eddine Elayoubi, Gabes 6033, Tunisia
[2] Gabes Univ, Fac Sci Gabes, Dept Math, St Erriadh, Gabes 6072, Tunisia
来源：
RAMANUJAN JOURNAL | 2022年 / 57卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Orthogonal polynomials; Symmetric orthogonal polynomials; q-Dunkl operator; q-Analogue of generalized Hermite polynomials; q-Analogue of generalized Gegenbauer polynomials;
D O I：
10.1007/s11139-021-00425-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that, up to a dilatation, the q(2)-analogue of generalized Hermite and q(2)-analogue of generalized Gegenbauer polynomials are the only q-Dunkl-classical symmetric orthogonal polynomials.
引用
收藏
页码：1355 / 1365
页数：11
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