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- W2126863856 abstract "The aim in this paper is to provide generalizations of two interesting entries in Ramanujan's notebooks that relate sums involving the derivatives of a function φ(t) evaluated at 0 and 1. The generalizations obtained are derived with the help of expressions for the Gauss hypergeometric function 2 F 1(−n, a; 2a+j; 2) for non-negative integer n and j=0,±1, …,±5 given very recently by Kim et al. [Generalizations of Kummer's second theorem with applications, Comput. Math. Math. Phys. 50(3) (2010), pp. 387–402] and extension of Gauss’ summation theorem available in the literature. Several special cases that are closely related to Ramanujan's results are also given." @default.
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- W2126863856 date "2013-04-01" @default.
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- W2126863856 title "Generalization of two theorems due to Ramanujan" @default.
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- W2126863856 doi "https://doi.org/10.1080/10652469.2012.689302" @default.
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