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Applied Mathematical Sciences
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Applied Mathematical Sciences
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On the p-k-Mittag-Leffler function

Authors: Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; Dorrego, Gustavo;

On the p-k-Mittag-Leffler function

Abstract

In this paper, we define the function pEk;;(z), estudy its analyticproperties, some elementary properties as its integral expression,its relationship with the fractional operator of Riemann-Liouville and investigatethe fractional generalization of the kinetic equation involvingthis Mittag-Leffler type function. This new Mittag-Leffler-type functionrelated to the two parameters Gamma function recently introducedby Gehlot [8], is a generalizaton of the k-Mittag-Leffler function sincekk(z) = k(z), thus generalize the Mittag-Leffler of two parameter,Mittag-Leffler function and the exponential function.

Fil: Luque, Luciano Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; Argentina. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina

Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Nordeste; Argentina. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina

Fil: Cerutti, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina

Country
Argentina
Keywords

https://purl.org/becyt/ford/1.1, p-k-Mittag-Leffler function, https://purl.org/becyt/ford/1, Mathematical analysis, Integral equations, P-k-mittag-leffler function

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold