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Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications
Published 28 Jun 2023 in math.NT | (2306.15936v4)
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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