Abstract
We obtain two new Thomae-type transformations for hypergeometric series with r pairs of numeratorial and denominatorial parameters differing by positive integers. This is achieved by application of the so-called Beta integral method developed by Krattenthaler and Rao [Symposium on Symmetries in Science (ed. B. Gruber), Kluwer (2004)] to two recently obtained Euler-type transformations. Some special cases are given.
| Original language | English |
|---|---|
| Pages (from-to) | 111-118 |
| Number of pages | 8 |
| Journal | Mathematical Communications |
| Volume | 19 |
| Issue number | 2014 |
| Publication status | Published - 2014 |
Fingerprint
Cite this
Kim, Y. S., Rathie, A. K., & Paris, R. B. (2014). On two Thomae-type transformations for hypergeometric series with integral parameter differences. Mathematical Communications, 19(2014), 111-118.