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

On transformation formulas of $p$-adic hypergeometric functions  $\mathscr{F}_{a,...,a}^{(\sigma)}(t) $ and  $\widehat{\mathscr{F}}_{a,...,a}^{(\sigma)}(t)$