A Note on Some Generalized Hypergeometric Reduction Formulas

Juan Luis González-Santander and Fernando Sánchez Lasheras ()
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Juan Luis González-Santander: Department of Mathematics, Universidad de Oviedo, 33007 Oviedo, Spain
Fernando Sánchez Lasheras: Department of Mathematics, Universidad de Oviedo, 33007 Oviedo, Spain

Mathematics, 2023, vol. 11, issue 16, 1-8

Abstract: Herein, we calculate reduction formulas for some generalized hypergeometric functions m + 1 F m z in terms of elementary functions as well as incomplete beta functions. For this purpose, we calculate the n -th order derivative of the function z γ B z α , β with respect to z . As corollaries, we obtain reduction formulas of these m + 1 F m z functions for argument unity in terms of elementary functions, as well as beta functions.

Keywords: reduction formulas; generalized hypergeometric functions; incomplete beta functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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