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.
|Number of pages||7|
|Publication status||Published - 2015|
- Generalized hypergeometric series
- Hypergeometric identities
- Slater’s transformation