Generalized k-Mittag-Leffler function and its composition with pathway integral operators


K. S. Nisar - Department of Mathematics, College of Arts and Science, Prince Sattam bin Abdulaziz University, Wadi Al-Dawaser, Saudi Arabia. S. D. Purohit - Department of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, Rajasthan, India. M. S. Abouzaid - Department of Mathematics, Faculty of Science, Kafrelshiekh University, Egypt. M. Al Qurashi - Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia. D. Baleanu - Department of Mathematics, Cankaya University, Balgat 06530, Ankara, Turkey. - Institute of Space Sciences, Magurele-Bucharest, Romania.


Our purpose in this paper is to consider a more generalized form of the Mittag-Leffler function. For this newly defined function, we obtain certain composition formulas with pathway fractional integral operators. We also point out some important special cases of the main results.