International Journal of Advances in Mathematics
International Journal of Advances in Mathematics
2456-6098
Volume 2018
Number 2
2018
March
1
On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions
1
8
EN
Ahmed
Ali Atash
Department of Mathematics, Faculty of Education-Shabwah, Aden University \\
~Aden, Yemen.
ah-a-atash@hotmail.com
Hussein
Saleh Bellehaj
Department of Mathematics, Faculty of Education-Shabwah, Aden University \\
~Aden, Yemen.
The aim of this paper is to apply generalized Kummer's theorem and generalized Dixon's theorem due to Lavoie et al. to establish two general integrals involving Humbert's functions of two variables $ \varPhi_2 $, $ \varPsi_2 $ and Kummer's function $ {}_1F_1 $. Some interesting applications of our main results are also presented.
Humbert's functions, Kummer's function, Kamp\'{e} de F\'{e}riet function, Generalized Kummer's theorem, Generalized Dixon's theorem.
http://adv-math.com/two-general-integrals-involving-humberts-kummers-hypergeometric-functions/
http://adv-math.com/wp-content/uploads/2018/03/ADV-201751.pdf