APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES  

作　　者：H.M.SRIVASTAVA M.I.QURESHI Kaleem A.QURAISHI Ashish ARORA 

机构地区：[1]Department of Mathematics and Statistics,University of Victoria,Victoria,British Columbia V8W 3R4,Canada [2]Department of Applied Sciences and Humanities,Faculty of Engineering and Technology,Jamia Millia Islamia (A Central University),New Delhi 110025,India [3]Section of Mathematics,Mewat Engineering College (Wakf),Palla,Nuh,Mewat 122107,Haryana,India [4]Department of Mathematics,Noida Institute of Engineering and Technology,Greater Noida,Gautambuddha Nagar 201306,Uttar Pradesh,India

出　　处：《Acta Mathematica Scientia》2014年第3期619-628,共10页数学物理学报（B辑英文版）

摘　　要：Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.

关 键 词：Pochhammer＇s symbol Gamma function series identities hypergeometric re-duction formulas Srivastava-Daoust double and multiple hypergeometric func-tions Legendre＇s duplication formula Gauss-Legendre multiplication formula Kummer＇s theorem Dixon＇s theorem 

分 类 号：O18[理学—数学]