k-Fractional trigonometric functions

Autores
Cerutti, Ruben 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-α-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, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina
Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
FRACTIONAL CALCULUS
K-CALCULUS
EXPONENTIAL FUNCTION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/29053
Acceder
id CONICETDig_6f885379f5036740b1d89f47da69857b
oai_identifier_str oai:ri.conicet.gov.ar:11336/29053
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling k-Fractional trigonometric functionsCerutti, Ruben AlejandroLuque, Luciano LeonardoFRACTIONAL CALCULUSK-CALCULUSEXPONENTIAL FUNCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Based on the k-Mittag-Lefler function and the k-α-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, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; ArgentinaFil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaHikari Ltd2014-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/29053Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; k-Fractional trigonometric functions; Hikari Ltd; International Journal of Contemporary Mathematical Sciences; 9; 12; 8-2014; 569-578417-4301312-75861314-7544CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.12988/ijcms.2014.4885info:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ijcms/ijcms-2014/9-12-2014/4885.htmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:04:37Zoai:ri.conicet.gov.ar:11336/29053instacron: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:34982025-09-10 13:04:37.644CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv k-Fractional trigonometric functions
title k-Fractional trigonometric functions
spellingShingle k-Fractional trigonometric functions
Cerutti, Ruben 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, Ruben Alejandro
Luque, Luciano Leonardo
author Cerutti, Ruben Alejandro
author_facet Cerutti, Ruben 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
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Based on the k-Mittag-Lefler function and the k-α-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, Ruben Alejandro. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina
Fil: Luque, Luciano Leonardo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas Naturales y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Based on the k-Mittag-Lefler function and the k-α-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 2014-08
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 http://hdl.handle.net/11336/29053
Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; k-Fractional trigonometric functions; Hikari Ltd; International Journal of Contemporary Mathematical Sciences; 9; 12; 8-2014; 569-578
417-430
1312-7586
1314-7544
CONICET Digital
CONICET
url http://hdl.handle.net/11336/29053
identifier_str_mv Cerutti, Ruben Alejandro; Luque, Luciano Leonardo; k-Fractional trigonometric functions; Hikari Ltd; International Journal of Contemporary Mathematical Sciences; 9; 12; 8-2014; 569-578
417-430
1312-7586
1314-7544
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.12988/ijcms.2014.4885
info:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ijcms/ijcms-2014/9-12-2014/4885.html
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Hikari Ltd
publisher.none.fl_str_mv Hikari Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842980159391531008
score 12.993085

Publicaciones similares