Abstract

Recent days, Fractals, superfractals and examination of their dynamic nature are interesting and important notions of research in the field of Mathematics. In Fractal theory, Julia sets and Mandelbrot sets are two remarkable concepts for the researchers with many practical applications. This paper explores the various newborn J-sets (Julia sets) for the complex polynomial, z <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> + c, n ≥ 2 in GK-orbit. The main centre of point of this research paper is to originate new J-sets (Julia sets) with the understanding of their mathematical characteristics.

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