Abstract
We provide generalizations of two of Euler’s classical transformation formulas for the Gauss hypergeometric function extended to the case of the generalized hypergeometric function r+2 F r+1(x) when there are additional numeratorial and denominatorial parameters differing by unity. The method employed to deduce the latter is also implemented to obtain a Kummer-type transformation formula for r+1 F r+1 (x) that was recently derived in a different way.
Original language | English |
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Pages (from-to) | 31–45 |
Number of pages | 15 |
Journal | Zeitschrift fur Angewandte Mathematik und Physik |
Volume | 62 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 2011 |