• A SUMMATION THEOREM DUE TO RAMANUJAN AND ITS APPLICATION  IN FINDING A CURIOUS RESULT FOR Γ(1/4)

S. Ismail Azad*; Intazar Husain; Mohd. Saeed Akhtar

• A SUMMATION THEOREM DUE TO RAMANUJAN AND ITS APPLICATION IN FINDING A CURIOUS RESULT FOR Γ(1/4)

S. Ismail Azad*, Intazar Husain, Mohd. Saeed Akhtar

Abstract

The aim of this paper to provide the simple way for the generalization of a summation due to Ramanujan and then to use them to find a curious result by applying the theory of hypergeometric function. The result is derived with the help of generalized Dixon theorem available in the literature. The result derived in this research note is simple, interesting, easily established and may be potentially useful.

Keywords

Generalized Hypergeometric Function; Dixon’s Summation Theorem; Generalized Dixon’s Summation Theorem, Ramanujan’s Summations.

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