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http://dx.doi.org/10.5831/HMJ.2014.36.2.345

ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION  

Choi, Junesang (Department of Mathematics, Dongguk University)
Rathie, Arjun K. (Department of Mathematics, School of Mathematical and Physical Sciences, Central University of Kerala, Riverside Transit Campus)
Publication Information
Honam Mathematical Journal / v.36, no.2, 2014 , pp. 345-355 More about this Journal
Abstract
The main objective of this paper is to obtain a formula containing eleven interesting results for the reducibility of Kamp$\acute{e}$ de F$\acute{e}$riet function. The results are derived with the help of two general results for the series $_2F_1(2)$ very recently presented by Kim et al. Well known Kummer's second theorem and its contiguous results proved earlier by Rathie and Nagar, and Kim et al. follow special cases of our main findings.
Keywords
gamma function; hypergeometric function; generalized hypergeometric function; Kamp$\acute{e}$ de F$\acute{e}$riet function; Kummer's second theorem; Dixon and Whipple's summation theorems;
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Times Cited By KSCI : 1  (Citation Analysis)
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