English

Certain Transformations for Hypergeometric series in $p$-adic setting

Number Theory 2014-03-17 v1

Abstract

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

Keywords

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

R2 v1 2026-06-22T03:26:58.485Z