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arXiv · 2212.14321

Kamp\'e de F\'eriet hypergeometric functions over finite fields

Ryojun Ito·Satoshi Kumabe·Akio Nakagawa·Yusuke Nemoto
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Abstract

Kamp\'e de F\'eriet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell's functions. It is known that they satisfy many reduction and summation formulas. In this paper, we define Kamp\'e de F\'eriet hypergeometric functions over finite fields and show analogous formulas.

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Ryojun Ito, Satoshi Kumabe, Akio Nakagawa, Yusuke Nemoto. 2022-12-29. Kamp\'e de F\'eriet hypergeometric functions over finite fields. https://arxiv.org/abs/2212.14321

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