An entry of Ramanujan on hypergeometric series in his Notebooks

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摘要

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 nonnegative integer, is derived.

论文关键词：primary 33C20,secondary 33C05, 33B15,Hypergeometric functions,Gamma function,Digamma function,Ramanujan's Notebooks,Summation theorems

论文评审过程：Received 22 April 2003, Revised 19 February 2004, Available online 25 May 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.03.009