ON REDUCIBILITIES OF CERTAIN TRIPLE HYPERGEOMETRIC SERIESHAANDHCOF SRIVASTAVA

作     者：SHOUKAT ALI 

作者机构：Department of Mathematics Govt. Engineering College Bikaner Bikaner - 334 001 Rajasthan State India 

出 版 物：《International Journal of Modern Physics: Conference Series》 

年 卷 期：2013年第ijmpcs卷第22期

页      面：708-712页

学科分类：07[理学] 0702[理学-物理学] 

主　　题：Bailey summation theorem Watson summation theorem Triple hypergeometric series H A and H C Appell’s function F 1 

摘      要：The aim of this research paper is to consider some very interesting reducible cases of H A and H C introduced by Srivastava who actually noticed the existence of three additional complete triple hypergeometric functions H A , H B and H C of the second order in the course of an extensive investigation of Lauricella’s fourteen hypergeometric functions of three variables. The results are derived with the help of known classical summation theorems recently added in the literature due to Lavoie et al. Several results obtained earlier by Kim et al. follow special cases of our main findings.