On two Thomae-type transformations for hypergeometric series with integral parameter differences
Complex Variables
2013-08-13 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1308.2316,
title = {On two Thomae-type transformations for hypergeometric series with integral parameter differences},
author = {Y. S. Kim and Arjun. K. Rathie and R. B. Paris},
journal= {arXiv preprint arXiv:1308.2316},
year = {2013}
}
Comments
6 pages