Friday 29th of March 2024
 

Midgets of Transcendental Superior Mandelbar Set


Shafali Agarwal and Ashish Negi

Antipolynomial of a complex polynomial is generated by applying iteration on a function d+c for d=2. This complex function has been intense area for researcher. If we use transcendental function like sine, cosine etc with antipolynomial, i.e. cos ( d+c), it becomes a more elite area to design beautiful images of fractal. The purpose of this paper is to generate the fractals using function cos ( d+c), having combined characteristics of conjugacy and transcendental function. One of the most striking features of these fractals is the presence of tricorn and Mandelbrot set on the external rays i.e. midgets of Mandelbrot set for different values of constant variable. After a specific number of iterations, the fractals converge to fixed point.

Keywords: Superior antiMandelbrot set, Superior antiJulia set, Midgets, Mann Iteration & Fixed Point

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ABOUT THE AUTHORS

Shafali Agarwal
Research Scholar, Singhania University, Rajasthan, India

Ashish Negi
Associate Professor, G. B. Pant Engg. College, Pauri Garwal, Uttarakhand, India


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