Extensions of Certain Classical Summation Theorems for the Series F, F, and F with Applications in Ramanujan's Summations

Motivated by the extension of classical Gauss's summation theorem for the series . As applications, certain very interesting summations due to Ramanujan have been generalized. The results derived in this paper are simple, interesting, easily established, and may be useful.F

Bibliographic Details
Main Authors: Yong Sup Kim, Medhat A. Rakha, Arjun K. Rathie
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/309503