Abstract
We obtain a summation formula for the hypergeometric series of unit argument p+2Fp+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 p-fold sum with coeffcients that contain only ratios of Pochhammer symbols. The case when one of the parameters is a negative integer is also considered.
Original language | English |
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Pages (from-to) | 685-692 |
Number of pages | 8 |
Journal | Applied Mathematical Sciences |
Volume | 15 |
Issue number | 14 |
Early online date | 25 Nov 2021 |
DOIs | |
Publication status | Published - 25 Nov 2021 |
Keywords
- Generalised hypergeometric function
- Summation formulas at unit argument