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

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.