Transformation formula of Dwork's $p$-adic hypergeometric function

Yusuke Nemoto

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arXiv · 2505.24215

Transformation formula of Dwork's $p$-adic hypergeometric function

Yusuke Nemoto

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Abstract

In this paper, we give a transformation formula of Dwork's $p$-adic hypergeometric function between $t$ and $t^{-1}$. As an appendix, we introduce a finite analogue of this transformation formula, which implies the special case of the above transformation formula.

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Yusuke Nemoto. 2025-05-30. Transformation formula of Dwork's $p$-adic hypergeometric function. https://arxiv.org/abs/2505.24215

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