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

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Published in 2021 at "manuscripta mathematica"

DOI: 10.1007/s00229-021-01327-1

Abstract: 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… read more here.

Keywords: transformation formula; hypergeometric functions; adic hypergeometric; congruence relations ... See more keywords