k-Fractional trigonometric functions

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 e...

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Autores principales: Cerutti, Rubén Alejandro, Luque, Luciano Leonardo
Formato: Artículo
Lenguaje:Inglés
Publicado: Hikari Ltd 2020
Materias:
Fractional calculus
K-calculus
Exponential function
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/9107
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-9107
record_format dspace
spelling I48-R184-123456789-91072025-03-06T11:00:32Z k-Fractional trigonometric functions Cerutti, Rubén Alejandro Luque, Luciano Leonardo Fractional calculus K-calculus Exponential function 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. 2020-06-02T22:47:58Z 2020-06-02T22:47:58Z 2014 Artículo 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 eng http://dx.doi.org/10.12988/ijcms.2014.4885 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 569-578 application/pdf Hikari Ltd International Journal of Contemporary Mathematical Sciences, 2014, Vol. 9, no. 12, p. 569-578.
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 Fractional calculus
K-calculus
Exponential function
spellingShingle Fractional calculus
K-calculus
Exponential function
Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
k-Fractional trigonometric functions
topic_facet Fractional calculus
K-calculus
Exponential function
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.
format Artículo
author Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
author_facet Cerutti, Rubén Alejandro
Luque, Luciano Leonardo
author_sort Cerutti, Rubén Alejandro
title k-Fractional trigonometric functions
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
publisher Hikari Ltd
publishDate 2020
url http://repositorio.unne.edu.ar/handle/123456789/9107
work_keys_str_mv AT ceruttirubenalejandro kfractionaltrigonometricfunctions
AT luquelucianoleonardo kfractionaltrigonometricfunctions
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