On the p-k-Mittag-Leffler Function

Main Authors: Cerutti, Rubén, Luque, Luciano Leonardo, Dorrego, Gustavo
Format: Artículo
Language: English
Published: Hikari Ltd 2017
Series: https://doi.org/10.12988/ams.2017.78261
Subjects:
Online Access: http://repositorio.unne.edu.ar/handle/123456789/9115
building RIUNNE
institution RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
id RIUNNE--oai:repositorio.unne.edu.ar:123456789_9115
author Cerutti, Rubén
Luque, Luciano Leonardo
Dorrego, Gustavo
spellingShingle Cerutti, Rubén
Luque, Luciano Leonardo
Dorrego, Gustavo
P-K-MITTAG-LEFFLER FUNCTION
MATHEMATICAL ANALYSIS
INTEGRAL EQUATIONS
On the p-k-Mittag-Leffler Function
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.
https://doi.org/10.12988/ams.2017.78261
topic P-K-MITTAG-LEFFLER FUNCTION
MATHEMATICAL ANALYSIS
INTEGRAL EQUATIONS
topic_facet P-K-MITTAG-LEFFLER FUNCTION
MATHEMATICAL ANALYSIS
INTEGRAL EQUATIONS
title On the p-k-Mittag-Leffler Function
title_full On the p-k-Mittag-Leffler Function
title_fullStr On the p-k-Mittag-Leffler Function
title_full_unstemmed On the p-k-Mittag-Leffler Function
title_short On the p-k-Mittag-Leffler Function
publisher Hikari Ltd
contents 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.
series https://doi.org/10.12988/ams.2017.78261
url http://repositorio.unne.edu.ar/handle/123456789/9115
format Artículo
genre Artículo
genre_facet Artículo
era 2017
era_facet 2017
publishDate 2017
language English
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score 13,179736