Acta mathematica scientia, Series B >
APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES
Received date: 2012-05-28
Online published: 2014-05-20
Using series iteration techniques, we derive a number of general double series identities and apply each of these identities in order to deduce several hypergeometric reduc-tion 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.
H. M. SRIVASTAVA , M. I. QURESHI , Kaleem A. QURAISHI , Ashish ARORA . APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES[J]. Acta mathematica scientia, Series B, 2014 , 34(3) : 619 -628 . DOI: 10.1016/S0252-9602(14)60034-5
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