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