On the p-k-mittag-leffler function
Fecha
2017Autor
Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
Dorrego, Gustavo Abel
Metadatos
Mostrar el registro completo del ítemResumen
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 [8], 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.
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