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

Title & Authors
A NOTE ON GAUSS`S SECOND SUMMATION THEOREM FOR THE SERIES 2F1(1/2)
Choi, June-Sang; Rathie, Arjun K.; Purnima, Purnima;

Abstract
We aim at deriving Gauss`s second summation theorem for the series $\small{_2F_1(1/2)}$ by using Euler`s integral representation for $\small{_2F_1}$. It seems that this method of proof has not been tried.
Keywords
generalized hypergeometric series $\small{_pF_q}$;Gauss`s second summation theorem for $\small{_2F_1(1/2)}$;Beta function;
Language
English
Cited by
1.
NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES 3F2,;;

호남수학학술지, 2013. vol.35. 4, pp.701-706
1.
NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES3F2, Honam Mathematical Journal, 2013, 35, 4, 701
2.
A generalization of a formula due to Kummer†, Integral Transforms and Special Functions, 2011, 22, 11, 851
3.
Generalizations of classical summation theorems for the series2F1and3F2with applications, Integral Transforms and Special Functions, 2011, 22, 11, 823
References
1.
W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, Cambridge, 1935

2.
H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, Boston, and London, 2001