Transcendental Picard-Mann hybrid Julia and Mandelbrot sets

Abstract

In this paper, the fascinating Julia and Mandelbrot sets for the complex-valued transcendental functions z → sin(z m) + c, (m ≥ 2) ∈ N have been obtained in Picard, Ishikawa and Noor orbits. The purpose of the paper is to visualize transcendental Julia and Mandelbrot sets in Picard-Mann hybrid orbit.