d-orthogonality of a generalization of both Laguerre and Hermite polynomials

被引：3

作者：

Blel, Mongi ^{[2
]}

Ben Cheikh, Youssef ^{[1
]}

机构：

[1] Univ Monastir, Fac Sci, Dept Math, Monastir 5019, Tunisia

[2] King Saud Univ, Coll Sci, Dept Math, BP 2455, Riyadh 11451, Saudi Arabia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2020年 / 27卷 / 02期

关键词：

Hermite polynomials; Laguerre polynomials; d-orthogonal polynomials; generalized hypergeometric polynomials; generating functions; m-symmetric polynomial set; dual sequence; Hahn-classical d-orthogonal polynomials; GENERATING-FUNCTIONS;

D O I：

10.1515/gmj-2018-0043

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we give a unification and generalization of Laguerre and Hermite polynomials for which the orthogonal property is replaced by d-orthogonality. We state some properties of these new polynomials.

引用

页码：183 / 190

页数：8

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