SOME SUMMATION FORMULAS FOR THE SERIES <TEX>$_3F_2$</TEX>(1)
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1998, v.5 no.1, pp.5-12
Kim, Yong-Sup
(Department of Mathematics, Wonkwang University)
Lee, Chang-Hyun
(Department of Mathematics, Seonam University)
Kim, Yong-Sup,
&
Lee, Chang-Hyun.
(1998). SOME SUMMATION FORMULAS FOR THE SERIES <TEX>$_3F_2$</TEX>(1). 한국수학교육학회지시리즈B:순수및응용수학, 5(1), 5-12.
Abstract
We evaluate the sum of certain class of generalized hypergeometric series of unit argument. Summation formulas, contiguous to Watson's, Whipple's, Lavoie's and Choi's theorems in the theory of the generalized hypergeometric series, are obtained. Certain limiting cases of these results are given.
- keywords
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Generalized hypergeometric series,
Gamma function,
Psi function