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arXiv · 2104.14092

On transformation formulas of $p$-adic hypergeometric functions

Wang Chung-Hsuan
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Abstract

In this paper, we review hypergeometric functions $\mathscr{F}^{\rm Dw}_{\underline{a}}(t),$ $\mathscr{F}^{(\sigma)}_{\underline{a}}(t)$ and $\widehat{\mathscr{F}}^{(\sigma)} _{\mathbf{a}}(t)$ together with their conjectured transformation formulas, and show that one transformation formula implies the other.

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Wang Chung-Hsuan. 2021-04-29. On transformation formulas of $p$-adic hypergeometric functions. https://arxiv.org/abs/2104.14092

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