Tricorns and Multicorns in Noor Orbit With s-Convexity

Abstract

In today’s world, complex patterns of the dynamical framework have astounding highlights of fractals and become a huge field of research because of their beauty and unpredictability of their structure. The purpose of this paper is to visualize anti-Julia sets, tricorns, and multicorns by means of the Noor iteration with s-convexity. Various patterns are displayed to investigate the geometry of antifractals for antipolynomial $\overline {z}^{k+1}+c$ of complex polynomial $z^{k+1}+c$ , for $k\geq 1$ in Noor orbit with s-convexity.

Keywords

• Noor iteration
• s-convexity
• Julia set
• tricorn
• escape criterion