Congruence relations for p-adic hypergeometric functions $$\widehat{{\mathscr {F}}}_{a,...,a}^{(\sigma )}(t)$$ and its transformation formula
نویسندگان
چکیده
We introduce new kinds of p-adic hypergeometric functions. show these functions satisfy congruence relations similar to Dwork’s functions, so they are convergent also that there is a transformation formula between our and logarithmic type defined in Asakura (New syntomic regulators. arXiv:1811.03770 ) particular case.
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ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 2021
ISSN: ['0025-2611', '1432-1785']
DOI: https://doi.org/10.1007/s00229-021-01327-1