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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… Click to show full 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.
Keywords:
transformation formula;
hypergeometric functions;
adic hypergeometric;
congruence relations
Journal Title: manuscripta mathematica
Year Published: 2021
Link to full text (if available)
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Journal Title: manuscripta mathematica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!