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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Detalles Bibliográficos
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
Descripción
Sumario: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.

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