An Entry of Ramanujan on Hypergeometric Series in his Notebooks

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Example 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is proved and, more generally, a summation theorem for $_3F_2(a,a,x;1+a,1+a+N;1)$, where $N$ is a non-negative integer, is derived.
8 pages, AmS-LaTeX

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Classical Analysis and ODEs, 33C20 (Primary) 33C05, 33B15 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/67179

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0304317
 http://arxiv.org/abs/math/0304317
 J. Comput. Math. Appl. 173 (2004), 239-246.

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arXiv