Certain Transformations for Hypergeometric series in $p$-adic setting
Number Theory
2014-03-17 v1
Abstract
In \cite{mccarthy2}, McCarthy defined a function using the Teichm\"{u}ller character of finite fields and quotients of the -adic gamma function. This function extends hypergeometric functions over finite fields to the -adic setting. In this paper, we give certain transformation formulas for the function which are not implied from the analogous hypergeometric functions over finite fields.
Cite
@article{arxiv.1403.3607,
title = {Certain Transformations for Hypergeometric series in $p$-adic setting},
author = {Rupam Barman and Neelam Saikia},
journal= {arXiv preprint arXiv:1403.3607},
year = {2014}
}
Comments
12 pages