An alternative summation formula for the hypergeometric series p+2Fp+1(1) with integral parameter differences
An alternative summation formula for the hypergeometric series p+2Fp+1(1) with integral parameter differences
We obtain a summation formula for the hypergeometric series of unit argument p+2 F p+1 with p pairs of numeratorial and denominatorial parameters differing by positive integers.This summation formula is an alternative representation to that presented by Miller and Paris [Rocky Mountain J. Math.43 (1) (2013), 291-327] and involves a …