General integral formulas involving Hubert hypergeometric functions of two variables

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017 English Publisher:Centre for Evaluation in Education and Science (CEON/CEES)Journal:Mathematica Moravica, volume 21, pages 75-84 (issn: 1450-5932, eissn: 2560-5542,

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Authors: Atash Ali Ahmed; Bellehaj Saleh Hussein;

doi: 10.5937/matmor1702075a

General integral formulas involving Hubert hypergeometric functions of two variables

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Abstract

In this paper, we have established two general integral formulas involving Humbert hypergeometric functions of two variables ψ2 and 2. The results are obtained with the help of a generalization of classical Kummer's summation theorem on the sum of the series 2F1(-1) due to Lavoie et al. [5]. Some interesting applications are also presented.

Keywords

Integral formulas, Kampé de Férietfunction, Exton functions, QA1-939, Humbert functions, Kummer's theorem, Mathematics

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