Abstract

Mandelbrot set with transcendental function presents an out of the ordinary field of research because of its magnificence and geometrical complexities. Earlier many researchers used feedback system to study it and reveal new concepts unexplored the geometry of transcendental Mandelbrot set with new iterative approach. The objective of the paper is to analyze the work done by several researchers to visualize beautiful fractal graphics of Mandelbar set with sine, cosine functions using Mann iteration method. Also the rate of convergence of function in the presence of transcendental function and conjugacy with Mandelbrot set and related complex structure of superior Julia set.

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