On One Of Summations Due To Ramanujan And Its Generalization*

Nidhi Shekhawat, Vishakha Thakore

Abstract


The aim of this short research note is to provide a natural generalization of a very interesting summations due to Ramanujan. 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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