Mathematica Moravica 2017, vol. 21, iss. 2, pp. 7584


General integral formulas involving Hubert hypergeometric functions of two variables
^{a}Department of Mathematics Faculty of EducationShabwah Aden University, Aden, Yemen ^{b}Department of Mathematics Faculty of EducationShabwa Aden University, Aden, Yemen
email: ahaatash@hotmail.com
AbstractIn 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.
KeywordsHumbert functions; Exton functions; Kampé de Férietfunction; Integral formulas; Kummer's theorem
