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 |
|---|---|
| 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