Abstract
In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one pair of parameters differing by unity expressed as a linear combination of two 3F2(1) series.
Original language | English |
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Pages (from-to) | 217-223 |
Number of pages | 7 |
Journal | Mathematica Æterna |
Volume | 5 |
Issue number | 1 |
Publication status | Published - 2015 |
Keywords
- Generalized hypergeometric series
- Hypergeometric identities
- Slater’s transformation