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

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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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Publication:6333322

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DOI10.1007/S00229-021-01327-1arXiv2001.08117MaRDI QIDQ6333322

Author name not available (Why is that?)

Publication date: 20 January 2020

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 and

p

-adic hypergeometric functions of logarithmic type defined by M. Asakura in a particular case.

Mathematics Subject Classification ID

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