An Entry of Ramanujan on Hypergeometric Series in his Notebooks

Mathematics – Classical Analysis and ODEs

Scientific paper

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8 pages, AmS-LaTeX

Scientific paper

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.

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