English

A note on a hypergeometric transformation formula due to Slater with an application

Classical Analysis and ODEs 2014-10-01 v1

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){}_5F_4(-1) series with one pair of parameters differing by unity expressed as a linear combination of two 3F2(1){}_3F_2(1) series.

Keywords

Cite

@article{arxiv.1409.8527,
  title  = {A note on a hypergeometric transformation formula due to Slater with an application},
  author = {Y. S. Kim and A. K. Rathie and R. B. Paris},
  journal= {arXiv preprint arXiv:1409.8527},
  year   = {2014}
}

Comments

5 pages, 0 figures

R2 v1 2026-06-22T06:09:27.543Z