Another method for a new two-term relation for the hypergeometric function 3F2 due to Exton

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摘要

By elementary manipulation of series together with summations of Gauss and Saalschütz, Exton deduced a new two-term relation for the hypergeometric function 3F2(1). The aim of this research note is to derive Exton's result by a very short method.

论文关键词:33C20,33C80,39A10,Hypergeometric,Gauss,Saalschütz,Euler's transformation,Dixon

论文评审过程:Received 9 July 2003, Revised 24 September 2003, Available online 12 February 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2003.10.018