On the p-k-Mittag-Leffler function
- Autores
- Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; Dorrego, Gustavo
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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: Cerutti, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina
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 - Materia
- p-k-Mittag-Leffler function
- Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
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- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/209001
Ver los metadatos del registro completo
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On the p-k-Mittag-Leffler functionCerutti, Ruben AlejandroLuque, Luciano LeonardoDorrego, Gustavop-k-Mittag-Leffler functionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In 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: Cerutti, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; ArgentinaFil: 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; ArgentinaFil: 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; ArgentinaHikari2017-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/209001Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; Dorrego, Gustavo; On the p-k-Mittag-Leffler function; Hikari; Applied Mathematical Sciences; 11; 51; 11-2017; 2541-25601312-885X1314-7552CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ams/ams-2017/ams-49-52-2017/78261.htmlinfo:eu-repo/semantics/altIdentifier/doi/10.12988/ams.2017.78261info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:24:13Zoai:ri.conicet.gov.ar:11336/209001instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:24:13.522CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| 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, Ruben Alejandro 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 |
| dc.creator.none.fl_str_mv |
Cerutti, Ruben Alejandro Luque, Luciano Leonardo Dorrego, Gustavo |
| author |
Cerutti, Ruben Alejandro |
| author_facet |
Cerutti, Ruben Alejandro Luque, Luciano Leonardo Dorrego, Gustavo |
| author_role |
author |
| author2 |
Luque, Luciano Leonardo Dorrego, Gustavo |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
p-k-Mittag-Leffler function |
| topic |
p-k-Mittag-Leffler function |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
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: Cerutti, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina 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 |
| description |
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. |
| publishDate |
2017 |
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2017-11 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/209001 Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; Dorrego, Gustavo; On the p-k-Mittag-Leffler function; Hikari; Applied Mathematical Sciences; 11; 51; 11-2017; 2541-2560 1312-885X 1314-7552 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/209001 |
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Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; Dorrego, Gustavo; On the p-k-Mittag-Leffler function; Hikari; Applied Mathematical Sciences; 11; 51; 11-2017; 2541-2560 1312-885X 1314-7552 CONICET Digital CONICET |
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eng |
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