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arXiv · 1403.3607

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

Rupam Barman·Neelam Saikia
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Abstract

In \cite{mccarthy2}, McCarthy defined a function $_{n}G_{n}[\cdots]$ using the Teichmüller 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.

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Rupam Barman, Neelam Saikia. 2014-03-14. Certain Transformations for Hypergeometric series in $p$-adic setting. https://arxiv.org/abs/1403.3607

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