Generation of New Julia Sets and Mandelbrot Sets for Tangent Function

Abstract

The generation of fractals and study of the dynamics of transcendental function is one of emerging andinteresting field of research nowadays. We introduce in this paper the complex dynamics of tangentfunction. Our results are entirely different from thoseexisting in the literature of transcendental function.

Keywords: Complex dynamics,Relative Superior Julia set, Relative Superior Mandelbrot set.