Author/Authors :
Khan, Owais Department of Applied Mathematics, Faculty of Engineering and Technology - Aligarh Muslim University, Aligarh, India , Khan, Nabiullah Department of Applied Mathematics, Faculty of Engineering and Technology - Aligarh Muslim University, Aligarh, India , Nisar, Kottakkaran Sooppy Department of Mathematics - College of Arts and Science atWadi Aldawaser - Prince Sattam bin Abdulaziz University, Riyadh region, Saudi Arabia
Abstract :
We establish certain integral formulas of extended type k-Mittag-Leffler function (k-MLf)
of two and one variables by using MacRobert, Lavoie and Trottier, and Oberhettinger integrals. These
integral formulas are expressed in terms of some families in the Literature of special functions such as
Fox H-function and Fox-Wright. We also consider some useful examples as particular cases of k-MLf to
give the applications of our main results
Keywords :
k-Mittag-Leffler function of two variablesv , Fox-Wright function , Fox H-function of two variables and Integrals