Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications
type: Item
instance of: scholarly article
title: Sum representations of Appell-Lauricella functions over finite fields using confluent hypergeometric functions and their applications
author: Akio Nakagawa
published in: Research in Number Theory
publication date: 2024-11-01T00:00:00Z
Mathematics Subject Classification ID: 11T24
Mathematics Subject Classification ID: 33C15
Mathematics Subject Classification ID: 33C65
zbMATH DE Number: 7937594
zbMATH Keywords: hypergeometric functions over finite fields
zbMATH Keywords: Appell-Lauricella functions
zbMATH Keywords: character sums
MaRDI profile type: Publication
cites work: ON THE SUM OF A TERMINATING 2F2(1)
cites work: Lauricella hypergeometric series \(F_A^{(n)}\) over finite fields
cites work: Transformation of a certain series of products of confluent hypergeometric functions. Applications to Laguerre and Charlier polynomials.
cites work: A cubic transformation formula for Appell-Lauricella hypergeometric functions over finite fields
cites work: Hypergeometric functions over finite fields
cites work: Hypergeometric Functions Over Finite Fields
cites work: An Appell series over finite fields
cites work: Transformations for Appell series over finite fields and traces of Frobenius for elliptic curves
cites work: Exponential Sums and Differential Equations. (AM-124)
cites work: Q4748270
cites work: Encyclopedia of Special Functions: The Askey-Bateman Project
cites work: On hypergeometric functions of several variables.
cites work: Appell series 𝔽1 over finite fields
cites work: Some properties for Appell series F2 over finite fields
cites work: Transformations of well-poised hypergeometric functions over finite fields
cites work: Appell-Lauricella hypergeometric functions over finite fields and algebraic varieties
cites work: Product formulas for hypergeometric functions over finite fields
cites work: Summation formulas associated with the Lauricella function \(F_A^{(\tau)}\)
cites work: On the Reducibility of Appell's Function F4
cites work: Q4402627
cites work: Q3345085
cites work: A finite field analogue of the Appell series \(F_4\)
cites work: Appell series over finite fields and Gaussian hypergeometric series
cites work: Appell’s hypergeometric series over finite fields
cites work: Specialization of Appell's functions to univariate hypergeometric functions
DOI: 10.1007/S40993-024-00561-2
description: scientific article; zbMATH DE number 7937594