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An Entry of Ramanujan on Hypergeometric Series in his Notebooks
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🧮 math.CA
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entryramanujanchapterderivedexamplefirstgenerallyhypergeometric
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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.
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