k-Fractional trigonometric functions
- Autores
- Cerutti, Rubén Alejandro; Luque, Luciano Leonardo
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Based on the k-Mittag-Lefler function and the k- -Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some convenient election of parameters. We study some elementary properties and obtain the Laplace transform of some elements of the families.
Fil: Cerutti, Rubén 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. Instituto de Modelado e Innovación Tecnológica; Argentina.
Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. - Fuente
- International Journal of Contemporary Mathematical Sciences, 2014, Vol. 9, no. 12, p. 569-578.
- Materia
-
Fractional calculus
K-calculus
Exponential function - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Universidad Nacional del Nordeste
- OAI Identificador
- oai:repositorio.unne.edu.ar:123456789/9107
Ver los metadatos del registro completo
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k-Fractional trigonometric functionsCerutti, Rubén AlejandroLuque, Luciano LeonardoFractional calculusK-calculusExponential functionBased on the k-Mittag-Lefler function and the k- -Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some convenient election of parameters. We study some elementary properties and obtain the Laplace transform of some elements of the families.Fil: Cerutti, Rubén 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. Instituto de Modelado e Innovación Tecnológica; Argentina.Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina.Hikari Ltd2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfp. 569-578application/pdfCerutti, Rubén Alejandro y Luque, Luciano L. 2014. k-Fractional Trigonometric Functions. International Journal of Contemporary Mathematical Sciences. Bulgaria: Hikari Ltd, vol. 9, no. 12, p. 569-578. ISSN 1314-7544.1314-7544http://repositorio.unne.edu.ar/handle/123456789/9107International Journal of Contemporary Mathematical Sciences, 2014, Vol. 9, no. 12, p. 569-578.reponame:Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)instname:Universidad Nacional del Nordesteenghttp://dx.doi.org/10.12988/ijcms.2014.4885info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/Atribución-NoComercial-SinDerivadas 2.5 Argentina2025-09-11T10:50:19Zoai:repositorio.unne.edu.ar:123456789/9107instacron: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:48712025-09-11 10:50:20.171Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) - Universidad Nacional del Nordestefalse |
dc.title.none.fl_str_mv |
k-Fractional trigonometric functions |
title |
k-Fractional trigonometric functions |
spellingShingle |
k-Fractional trigonometric functions Cerutti, Rubén Alejandro Fractional calculus K-calculus Exponential function |
title_short |
k-Fractional trigonometric functions |
title_full |
k-Fractional trigonometric functions |
title_fullStr |
k-Fractional trigonometric functions |
title_full_unstemmed |
k-Fractional trigonometric functions |
title_sort |
k-Fractional trigonometric functions |
dc.creator.none.fl_str_mv |
Cerutti, Rubén Alejandro Luque, Luciano Leonardo |
author |
Cerutti, Rubén Alejandro |
author_facet |
Cerutti, Rubén Alejandro Luque, Luciano Leonardo |
author_role |
author |
author2 |
Luque, Luciano Leonardo |
author2_role |
author |
dc.subject.none.fl_str_mv |
Fractional calculus K-calculus Exponential function |
topic |
Fractional calculus K-calculus Exponential function |
dc.description.none.fl_txt_mv |
Based on the k-Mittag-Lefler function and the k- -Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some convenient election of parameters. We study some elementary properties and obtain the Laplace transform of some elements of the families. Fil: Cerutti, Rubén 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. Instituto de Modelado e Innovación Tecnológica; Argentina. Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. |
description |
Based on the k-Mittag-Lefler function and the k- -Exponential Function we introduce families of functions that allows us define new fractional trigonometric functions that contain the classical trigonometric functions as particular case for some convenient election of parameters. We study some elementary properties and obtain the Laplace transform of some elements of the families. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014 |
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 y Luque, Luciano L. 2014. k-Fractional Trigonometric Functions. International Journal of Contemporary Mathematical Sciences. Bulgaria: Hikari Ltd, vol. 9, no. 12, p. 569-578. ISSN 1314-7544. 1314-7544 http://repositorio.unne.edu.ar/handle/123456789/9107 |
identifier_str_mv |
Cerutti, Rubén Alejandro y Luque, Luciano L. 2014. k-Fractional Trigonometric Functions. International Journal of Contemporary Mathematical Sciences. Bulgaria: Hikari Ltd, vol. 9, no. 12, p. 569-578. ISSN 1314-7544. 1314-7544 |
url |
http://repositorio.unne.edu.ar/handle/123456789/9107 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
http://dx.doi.org/10.12988/ijcms.2014.4885 |
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. 569-578 application/pdf |
dc.publisher.none.fl_str_mv |
Hikari Ltd |
publisher.none.fl_str_mv |
Hikari Ltd |
dc.source.none.fl_str_mv |
International Journal of Contemporary Mathematical Sciences, 2014, Vol. 9, no. 12, p. 569-578. 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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1842976534366781440 |
score |
12.993085 |