Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2007; 22(4): 509-512

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

A note on Gauss's second summation theorem for the series $_2 F_1 (1/2)$

Junesang Choi, Arjun K. Rathie, Purnima

Dongguk University, Govt. P. G. College, Govt. Dungar College (Bikaner University)

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We aim at deriving Gauss's second summation theorem for the series $_2 F_1 (1/2)$ by using Euler's integral representation for $_2F_1$. It seems that this method of proof has not been tried.

Keywords: generalized hypergeometric series $_p F_q$, Gauss's second summation theorem for $_2 F_1 (1/2)$, Beta function

MSC numbers: Primary 33C20, 33C60; Secondary 33C70, 33C65

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