k-Fractional trigonometric functions

Cerutti, Ruben Alejandro; Luque, Luciano Leonardo

Artículos de revistas

Fecha

2014-08

Registro en:

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

http://hdl.handle.net/11336/29053

1314-7544

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1857574

Autor

Cerutti, Ruben Alejandro

Luque, Luciano Leonardo

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

FRACTIONAL CALCULUS

K-CALCULUS

EXPONENTIAL FUNCTION

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