Abstract

The dynamics of transcendental function is one of emerging and interesting field of research nowadays. We introduce in this paper the complex dynamics of sine function of the type {sin (z ) – z + c = 0} and applied Jungck Ishikawa iteration to generate Relative Superior Mandelbrot set and Relative Superior Julia set. In order to solve this function by Jungck – type iterative schemes, we write it in the form of Sz = Tz, where the function T, S are defined as Tz = sin ( z ) +c and Sz= z. Only mathematical explanations are derived by applying Jungck Ishikawa Iteration for transcendental function in the literature but in this paper we have generated relative Mandelbrot sets and Relative Julia sets.

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