论文标题
$ p $ -adic超几何函数的一致关系$ \ wideHat {\ mathscr {f}} _ {a，...，a}^{（σ）}（t）$及其转换公式
Congruence relations for $p$-adic hypergeometric functions $\widehat{\mathscr{F}}_{a,...,a}^{(σ)}(t)$ and its transformation formula
论文作者
论文摘要
我们介绍了新型的$ P $ ADIC超几何功能。我们显示这些功能满足一致性关系，因此它们是收敛函数。我们表明，在特定情况下，M. Asakura定义的对数类型的对数类型的新$ P $ ADIC超几何函数与$ P $ ADIC的超几何函数之间存在转换公式。
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.
