ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 2,  2014, pp.345-355
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.2.345
Title & Authors
ON THE REDUCIBILITY OF KAMPÉ DE FÉRIET FUNCTION
Choi, Junesang; Rathie, Arjun K.;

Abstract
The main objective of this paper is to obtain a formula containing eleven interesting results for the reducibility of Kamp$\small{\acute{e}}$ de F$\small{\acute{e}}$riet function. The results are derived with the help of two general results for the series $\small{_2F_1(2)}$ 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$\small{\acute{e}}$ de F$\small{\acute{e}}$riet function;Kummer's second theorem;Dixon and Whipple's summation theorems;
Language
English
Cited by
1.
On a reducibility of the Kampé de Fériet function, Mathematical Methods in the Applied Sciences, 2015, 38, 12, 2600
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