On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

Authors : Kahraman Esen ÖZEN

Pages : 143-154

Doi:10.33434/cams.789085

View : 19 | Download : 9

Publication Date : 2020-09-29

Article Type : Research Paper

Abstract :In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied insert ignore into journalissuearticles values(Math. Mag. 77insert ignore into journalissuearticles values(2);insert ignore into journalissuearticles values(2004););. This family is denoted by Cp. It is well known that Cp matches up with the elliptical complex number system when p is any negative real number. By using this system, Özen and Tosun expressed the elliptical complex valued trigonometric functions cosine, sine and p-trigonometric functions p-cosine, p-sine insert ignore into journalissuearticles values(Adv. Appl. Clifford Algebras 28insert ignore into journalissuearticles values(3);insert ignore into journalissuearticles values(2018););. In this study, we introduce the remained elliptical complex valued trigonometric and p-trigonometric functions. Also we define the corresponding single-valued principal values of the inverse trigonometric and p-trigonometric functions by following the similar steps given in the literature.
Keywords : Generalized Complex Numbers, p Trigonometric Functions, Elliptical Complex Numbers