Abstract

The aim of this research paper is to provide certain generalizations of two well-known summations due to Ramanujan. The results are derived with the help of the generalized Dixon's theorem on the sum of <TEX>$_3F_2$</TEX> and the generalized Kummer's theorem for <TEX>$_2F_1$</TEX> obtained earlier by Lavoie et al. [3, 5]. As their special cases, we have obtained fifteen interesting summations which are closely related to Ramanujan's summation.

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