Multiple integral representations for some families of hypergeometric and other polynomials

被引：9

作者：

Liu, Shuoh-Jung ^{[2
]}

Chyan, Chuan-Jen ^{[3
]}

Lu, Han-Chun ^{[3
]}

Srivastava, H. M. ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan

[3] Tamkang Univ, Dept Math, Tamsui 25137, Taiwan

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 5-6期

关键词：

Hypergeometric polynomials; Integral representations; Srivastava polynomials; Gamma function; Eulerian beta integral; Linearization relationship; Lagrange-Hermite polynomials; Pochhammer symbol; Hermite-Kampe de Feriet polynomials; GENERATING-FUNCTIONS; LAGRANGE POLYNOMIALS; VARIABLES; PRODUCT;

D O I：

10.1016/j.mcm.2011.04.013

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The main objective of this paper is to investigate several general families of hypergeometric and other polynomials and their associated multiple integral representations. Each of the integral representations, which are derived in this paper, may be viewed also as a linearization relationship for the product of two different members of the associated family of hypergeometric and other polynomials. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1420 / 1427

页数：8

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