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 Mitt...

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Autores principales: Cerutti, Rubén Alejandro, Luque, Luciano Leonardo, Dorrego, Gustavo Abel
Formato: Artículo
Lenguaje:Inglés
Publicado: Hikari Ltd 2020
Materias:
P-k-mittag-leffler function
Mathematical analysis
Integral equations
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9115
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RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-9115
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spelling I48-R184-123456789-91152025-03-06T11:01:49Z On the p-k-mittag-leffler function Cerutti, Rubén Alejandro Luque, Luciano Leonardo Dorrego, Gustavo Abel P-k-mittag-leffler function Mathematical analysis Integral equations 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. Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. Fil: Cerutti, Rubén Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina. Fil: Luque, Luciano L. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Modelado e Innovación Tecnológica; Argentina. Fil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. 2020-06-02T22:48:12Z 2020-06-02T22:48:12Z 2017 Artículo Cerutti,Rubén Alejandro, Luque, Luciano L. y Dorrego, Gustavo Abel, 2017. On the p-k-Mittag-Leffler Function. Applied Mathematical Sciences. Bulgaria: Hikari Ltd, vol. 11. no. 51, p. 2541-2560. ISSN 1314-7552. 1314-7552 http://repositorio.unne.edu.ar/handle/123456789/9115 eng https://doi.org/10.12988/ams.2017.78261 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 2541-2560 application/pdf Hikari Ltd Applied Mathematical Sciences, 2017, vol. 11. no. 51, p. 2541-2560.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic P-k-mittag-leffler function
Mathematical analysis
Integral equations
spellingShingle P-k-mittag-leffler function
Mathematical analysis
Integral equations
Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
Dorrego, Gustavo Abel
On the p-k-mittag-leffler function
topic_facet P-k-mittag-leffler function
Mathematical analysis
Integral equations
description 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.
format Artículo
author Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
Dorrego, Gustavo Abel
author_facet Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
Dorrego, Gustavo Abel
author_sort Cerutti, Rubén Alejandro
title On the p-k-mittag-leffler function
title_short 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_sort on the p-k-mittag-leffler function
publisher Hikari Ltd
publishDate 2020
url http://repositorio.unne.edu.ar/handle/123456789/9115
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AT dorregogustavoabel onthepkmittaglefflerfunction
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