On the p-k-mittag-leffler function

Autores
Cerutti, Rubén Alejandro; Luque, Luciano Leonardo; Dorrego, Gustavo Abel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fuente
Applied Mathematical Sciences, 2017, vol. 11. no. 51, p. 2541-2560.
Materia
P-k-mittag-leffler function
Mathematical analysis
Integral equations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
Institución
Universidad Nacional del Nordeste
OAI Identificador
oai:repositorio.unne.edu.ar:123456789/9115
Acceder
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oai_identifier_str oai:repositorio.unne.edu.ar:123456789/9115
network_acronym_str RIUNNE
repository_id_str 4871
network_name_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
spelling On the p-k-mittag-leffler functionCerutti, Rubén AlejandroLuque, Luciano LeonardoDorrego, Gustavo AbelP-k-mittag-leffler functionMathematical analysisIntegral equationsIn 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.Hikari Ltd2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 2541-2560application/pdfCerutti,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 1314-7552.1314-7552http://repositorio.unne.edu.ar/handle/123456789/9115Applied Mathematical Sciences, 2017, vol. 11. no. 51, p. 2541-2560.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttps://doi.org/10.12988/ams.2017.78261info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2025-09-18T10:49:33Zoai:repositorio.unne.edu.ar:123456789/9115instacron:UNNEInstitucionalhttp://repositorio.unne.edu.ar/Universidad públicaNo correspondehttp://repositorio.unne.edu.ar/oaiososa@bib.unne.edu.ar;sergio.alegria@unne.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:48712025-09-18 10:49:33.844Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse
dc.title.none.fl_str_mv On the p-k-mittag-leffler function
title On the p-k-mittag-leffler function
spellingShingle On the p-k-mittag-leffler function
Cerutti, Rubén Alejandro
P-k-mittag-leffler function
Mathematical analysis
Integral equations
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
dc.creator.none.fl_str_mv Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
Dorrego, Gustavo Abel
author Cerutti, Rubén Alejandro
author_facet Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
Dorrego, Gustavo Abel
author_role author
author2 Luque, Luciano Leonardo
Dorrego, Gustavo Abel
author2_role author
author
dc.subject.none.fl_str_mv P-k-mittag-leffler function
Mathematical analysis
Integral equations
topic P-k-mittag-leffler function
Mathematical analysis
Integral equations
dc.description.none.fl_txt_mv 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.
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.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 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
identifier_str_mv 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
url http://repositorio.unne.edu.ar/handle/123456789/9115
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.12988/ams.2017.78261
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Atribución-NoComercial-SinDerivadas 2.5 Argentina
dc.format.none.fl_str_mv application/pdf
p. 2541-2560
application/pdf
dc.publisher.none.fl_str_mv Hikari Ltd
publisher.none.fl_str_mv Hikari Ltd
dc.source.none.fl_str_mv Applied Mathematical Sciences, 2017, vol. 11. no. 51, p. 2541-2560.
reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname:Universidad Nacional del Nordeste
reponame_str Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
collection Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
instname_str Universidad Nacional del Nordeste
repository.name.fl_str_mv Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordeste
repository.mail.fl_str_mv ososa@bib.unne.edu.ar;sergio.alegria@unne.edu.ar
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score 12.490522

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