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An Entry of Ramanujan on Hypergeometric Series in his Notebooks

K. Srinivasa Rao, G. Vanden Berghe, Christian Krattenthaler

math.CAarXiv:math/0304317

Abstract

Example 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is proved and, more generally, a summation theorem for 3F2(a,a,x;1+a,1+a+N;1), where N is a non-negative integer, is derived.

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