Asymptotic relations involving d-orthogonal polynomials

被引：0
|
作者：
Lamiri, Imed [1 ]
Weslati, Jihen [1 ]
机构：
[1] Sousse Univ, Higher Sch Sci & Technol, Sousse, Tunisia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 03期
关键词：
Orthogonal polynomials; d-orthogonal polynomials; Gould-Hopper polynomials; Humbert polynomials; Askey-scheme; generating function;
D O I：
10.1515/gmj-2020-2063
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a natural extension in the context of d-orthogonality for asymptotic analysis of orthogonal polynomials. We introduce, for several d-orthogonal polynomials, asymptotic expansions in terms of d-Hermite ones. From these expansions, several limits between d-orthogonal polynomials are obtained.
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页码：383 / 400
页数：18
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