On several unified reduction formulas for the Humbert function Φ 2 with applications

Yongsup Kim; Medhat A. Rakha; Arjun K. Rathie

doi:10.1007/s13398-020-00797-4

On several unified reduction formulas for the Humbert function Φ ₂ with applications

Yongsup Kim, Medhat A. Rakha^*, Arjun K. Rathie

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, several unified reduction formulas for the Humbert function Φ ₂ are given. They are further used to evaluate a new class of finite integrals involving Humbert function. Few known as well as new results have been obtained as special cases of our main findings.

Original language	English
Article number	62
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Volume	114
Issue number	2
DOIs	https://doi.org/10.1007/s13398-020-00797-4
Publication status	Published - Apr 1 2020

Keywords

Appell function
Humbert function
Hypergeometric function
Reduction formulas

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology
Computational Mathematics
Applied Mathematics

Access to Document

10.1007/s13398-020-00797-4

Cite this

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abstract = "In this paper, several unified reduction formulas for the Humbert function Φ 2 are given. They are further used to evaluate a new class of finite integrals involving Humbert function. Few known as well as new results have been obtained as special cases of our main findings.",

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author = "Yongsup Kim and Rakha, {Medhat A.} and Rathie, {Arjun K.}",

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