Abstract
We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer. The results derived for the latter are used to obtain Kummer-type transformations for the generalized hypergeometric function 2 F 2(x) and reduction formulas for certain Kampé de Fériet functions. Certain summations for the partial sums of the Gauss hypergeometric series 2 F 1(1) are also obtained.
Original language | English |
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Pages (from-to) | 21-33 |
Number of pages | 13 |
Journal | Integral Transforms and Special Functions |
Volume | 23 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2012 |