pith. sign in

arxiv: 1403.3607 · v1 · pith:RTLH67SMnew · submitted 2014-03-14 · 🧮 math.NT

Certain Transformations for Hypergeometric series in p-adic setting

classification 🧮 math.NT
keywords functionadicfieldsfinitehypergeometriccdotscertainfunctions
0
0 comments X
read the original abstract

In \cite{mccarthy2}, McCarthy defined a function $_{n}G_{n}[\cdots]$ using the Teichm\"{u}ller character of finite fields and quotients of the $p$-adic gamma function. This function extends hypergeometric functions over finite fields to the $p$-adic setting. In this paper, we give certain transformation formulas for the function $_{n}G_{n}[\cdots]$ which are not implied from the analogous hypergeometric functions over finite fields.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.