arXiv subjects

Wang Chung-Hsuan

Publications and source records attributed to Wang Chung-Hsuan.

2 recordsLinked to original sources

arXiv2026

On transformation formulas of $p$-adic hypergeometric functions

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

math.NT↗

arXiv2021

Congruence relations for $p$-adic hypergeometric functions $\widehat{\mathscr{F}}_{a,...,a}^{(σ)}(t)$ and its transformation formula

We introduce new kind of $p$-adic hypergeometric functions. We show these functions satisfy congruence relations, so they are convergent functions. And we show that there is a transformation formula between our new $p$-adic hypergeometric functions and $p$-adic hypergeometric functions of logarithmic type defined by M. Asakura in a particular case.

math.NT↗