ON A MULTIVARIABLE EXTENSION OF THE HERMITE AND RELATED POLYNOMIALS

被引：0

作者：

Altin, Abdullah ^{[1
]}

Aktas, Rabia ^{[1
]}

Cekim, Bayram ^{[2
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

[2] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey

来源：

ARS COMBINATORIA | 2013年 / 110卷

关键词：

Hermite polynomials; Gegenbauer polynomials; Extended Jacobi polynomials; Chan-Chyan-Srivastava polynomials; generating function; integral representation; recurrence relation; GENERATING-FUNCTIONS; FAMILIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some limit relations between multivariable Hermite polynomials (MHP) and some other multivariable polynomials are given, a class of multivariable polynomials is defined via generating function, which include (MHP) and multivariable Gegenbauer polynomials (MGP) and with the help of this generating function various recurrence relations are obtained to this class. Integral representations of MHP and MGP are also given. Furthermore, general families of multilinear and multilateral generating functions are obtained and their applications are presented.

引用

页码：487 / 503

页数：17

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