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© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

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

Details

Title
A Note on Some Generalized Hypergeometric Reduction Formulas
Author
González-Santander, Juan Luis  VIAFID ORCID Logo  ; Fernando Sánchez Lasheras  VIAFID ORCID Logo 
First page
3483
Publication year
2023
Publication date
2023
Publisher
MDPI AG
e-ISSN
22277390
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2857127262
Copyright
© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.