  In this paper, we recall hypergeometric functions $\mathscr{F}^{\rm
Dw}_{a_1,\cdots,a_s}(t),$ $\mathscr{F}^{(\sigma)}_{a_1,\cdots,a_s}(t)$,
$\widehat{\mathscr{F}}^{(\sigma)}_{a,\cdots,a}(t)$ and their transformation
formulas. Then we prove that one of transformation formula implies another.

Number Theory