Appell-Lauricella hypergeometric functions over finite fields, and a new cubic transformation formula

DOI10.1007/978-3-030-04161-8_29zbMath1448.33023OpenAlexW2922252056MaRDI QIDQ2001240

Sharon Frechette, Fang-Ting Tu, Holly Swisher

Publication date: 2 July 2019

Full work available at URL: https://doi.org/10.1007/978-3-030-04161-8_29

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Classical hypergeometric functions, ({}_2F_1) (33C05) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Cites Work

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• Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean
• Generalized Legendre curves and quaternionic multiplication
• An extended Gauss AGM and corresponding Picard modular forms
• Algebraic \(A\)-hypergeometric functions
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Hypergeometric functions over finite fields
• Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
• EXTENDING GAUSSIAN HYPERGEOMETRIC SERIES TO THE p-ADIC SETTING
• Hypergeometric Functions Over Finite Fields
• Hypergeometric Abelian Varieties
• A Cubic Counterpart of Jacobi's Identity and the AGM
• Multiple Hypergeometric Series: Appell Series and Beyond

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