Certain transformations for multiple hypergeometric functions

Advances in Difference Equations

Chuanan Wei¹  Yaqiong Li²  Xiaoxia Wang² 

[1] Department of Information Technology, Hainan Medical College, Haikou, P.R. China;Department of Mathematics, Shanghai University, Shanghai, P.R. China

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

DOI  :  10.1186/1687-1847-2013-360

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this research is to provide many new hypergeometric transformations of Kampé de Fériet’s double hypergeometric functions and Srivastava’s triple hypergeometric functions, which are obtained with the help of the relations of Appell, Humbert, Horn and Srivastava’s multiple hypergeometric functions. The results are derived by the beta integral method which has been recently introduced and studied systematically by Krattenthaler and Rao. MSC:33C20, 33C05, 33B20.

【 授权许可】

CC BY