The Clausenian hypergeometric function $_3F_2$ with unit argument and negative integral parameter differences
Classical Analysis and ODEs
2015-04-16 v3 Complex Variables
Abstract
New explicit as well as manifestly symmetric three-term summationformulas are derived for the Clausenian hypergeometric series with negative integral parameter differences. Our results generalize and naturally extend several similar relations published, in recent years, by many authors. An appropriate and useful connection is established with the quite underestimated 1974 paper by P. W. Karlsson.
Cite
@article{arxiv.1411.2455,
title = {The Clausenian hypergeometric function $_3F_2$ with unit argument and negative integral parameter differences},
author = {M. A. Shpot and H. M. Srivastava},
journal= {arXiv preprint arXiv:1411.2455},
year = {2015}
}
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