Transcendental Picard-Mann hybrid Julia and Mandelbrot sets


Mahesh Chandra Joshi, Mamta Rani, Naveen Chandra




In this paper, the fascinating Julia and Mandelbrot sets for the complex-valued transcendental functions $z\rightarrow\sin(z^m)+c$, $(m\geq 2)\in\mathbb{N}$ 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.