Some results on the extended beta and extended hypergeometric functions

被引：55

作者：

Luo, Min-Jie ^{[1
]}

Milovanovic, Gradimir V. ^{[2
]}

Agarwal, Praveen ^{[3
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[2] Serbian Acad Arts & Sci, Math Inst, Beograd 11000, Serbia

[3] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 248卷

关键词：

Extended beta function; Extended Gauss hypergeometric function; Extended generalized hypergeometric function; Fractional integral; H-function; Laguerre polynomial; GENERATING RELATIONS; EXTENSION; OPERATORS;

D O I：

10.1016/j.amc.2014.09.110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to present a systematic study of some extended special functions like B-b,rho,lambda((alpha, beta)) (x, y), F-2(1)(alpha,beta;rho,lambda) [z;b] and F-p(q)(alpha,beta,rho,lambda). We obtain various properties of these extended functions and establish their some connections with the Laguerre polynomial and Fox's H-function. Furthermore, we also establish the extended Riemann-Liouville type fractional integral operator and extended Kober type fractional integral operators. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：631 / 651

页数：21

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