On the p-k-Mittag-Leffler Function
Dorrego, G. A., Cerutti, Rubén A., Luque, L. L. (2017). On the p-k-Mittag-Leffler Function. Applied Mathematical Sciences, 51(11), 2541 - 2560.
Luque, Luciano Leonardo
In this paper, we define the function pE γ k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression, its relationship with the fractional operator of Riemann-Liouville and investigate the fractional generalization of the kinetic equation involving this Mittag-Leffler type function. This new Mittag-Leffler-type function related to the two parameters Gamma function recently introduced by Gehlot , is a generalizaton of the k-Mittag-Leffler function since kΓk(z) = Γk(z), thus generalize the Mittag-Leffler of two parameter, Mittag-Leffler function and the exponential function.