Remark on certain transformations for multiple hypergeometric functions

Advances in Difference Equations

Sebastien Gaboury¹  Richard Tremblay¹ 

[1] Department of Mathematics and Computer Science, University of Quebec at Chicoutimi, Quebec, Canada

关键词: fractional derivatives;    Appell functions;    Srivastava function;    beta integral;    multiple hypergeometric series;   

DOI  :  10.1186/1687-1847-2014-126

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we provide many new general transformations for multiple hypergeometric functions. These transformations can be viewed as generalizations of some of those obtained recently by Wei et al. (Adv. Differ. Equ. 2013:360, 2013). We obtain these transformations by using the fractional calculus method which is a more general method than the beta integral method. MSC:26A33, 33C20, 33C05.

【 授权许可】

CC BY