Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications

Akio Nakagawa

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arXiv · 2306.15936

Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications

Akio Nakagawa

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Abstract

We prove sum representations of Appell-Lauricella functions over a finite field using confluent hypergeometric functions over the finite field. As an application, we also prove transformation formulas, summation formulas and reduction formulas for Appell-Lauricella functions over the finite field.

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Akio Nakagawa. 2023-06-28. Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications. https://arxiv.org/abs/2306.15936

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