Generalized multiple integral representations for a large family of polynomials with applications

被引：1

作者：

Gaboury, Sebastien ^{[1
]}

Tremblay, Richard ^{[1
]}

机构：

[1] Univ Quebec Chicoutimi, Dept Math & Informat, Chicoutimi, PQ G7H 2B1, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 261卷

关键词：

Ilypergeometric polynomials; Linearization relations; Integral representations; Jacobi polynomials; Konhauser polynomials; Generalized Sister Celite's polynomials; Gamma function; Eulerian beta integral; LAGRANGE POLYNOMIALS; GENERATING-FUNCTIONS; HYPERGEOMETRIC POLYNOMIALS; PRODUCT;

D O I：

10.1016/j.amc.2015.03.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to provide a natural generalization and unification of a series of multiple integral representations for special classes of hypergeometric polynomials recently obtained by several authors. This generalization is obtained by considering a very large family of hypergeometric polynomials. The multiple integral representations given in this paper may be viewed as linearization relationship for the product of two different members of the associated family of hypergeometric polynomials. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：39 / 47

页数：9

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