Some Formulas of Fractional Trigonometric Functions

Chii-Huei YU

Abstract


Abstract. This paper studies some properties of fractional trigonometric sine and cosine functions and we obtain the fractional Dirichlet kernel. The Mittag-Leffler function plays an important role in this article, and the results we obtained are the generalizations of formulas of the classical sine and cosine functions.

Keywords


Some properties, Fractional sine function, Fractional cosine function, Fractional Dirichlet kernel, Mittag-Leffler function.


DOI
10.12783/dtssehs/aeim2021/36004