[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2007.22.4.509

A NOTE ON GAUSS'S SECOND SUMMATION THEOREM FOR THE SERIES ₂F₁(1/2)

Choi, June-Sang (Department of Mathematics Dongguk University)
Rathie, Arjun K. (Department of Mathematics Govt.P.G. College)
Purnima, Purnima (Department of Mathematics Govt. Dungar College(Bikaner University))

Publication Information

Communications of the Korean Mathematical Society / v.22, no.4, 2007 , pp. 509-512 More about this Journal

Abstract

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

Keywords

generalized hypergeometric series $_pF_q$ ; Gauss's second summation theorem for $_2F_1(1/2)$ ; Beta function;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

1	H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, Boston, and London, 2001
2	W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, Cambridge, 1935

4	Junesang Choi. (2013) Honam Mathematical Journal NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES3F2 / 35 (4) , 701
11	Junesang Choi. (2011) Integral Transforms and Special Functions A generalization of a formula due to Kummer† / 22 (11) , 851
11	Medhat A. Rakha. (2011) Integral Transforms and Special Functions Generalizations of classical summation theorems for the series2F1and3F2with applications / 22 (11) , 823

KSCI

A NOTE ON GAUSS'S SECOND SUMMATION THEOREM FOR THE SERIES 2F1(1/2)

A NOTE ON GAUSS'S SECOND SUMMATION THEOREM FOR THE SERIES ₂F₁(1/2)