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.
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页码：183 / 190
页数：8
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