A new two-term relation for the 3F2 hypergeometric function of unit argument
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摘要
The elementary manipulation of series together with summations of Gauss, Saalschutz and Dixon are employed to deduce a two-term relation for the hypergeometric function 3F2(1) and a summation formula for the same function, neither of which has previously appeared in the literature. The two-term relation has implications in the calculus of finite differences.
论文关键词:33C20,33C80,39A10,Hypergeometric,Gauss,Saalschütz,Dixon,Finite difference
论文评审过程:Received 20 July 1998, Revised 2 November 1998, Available online 20 September 2000.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00077-1