Transcendental Picard-Mann hybrid Julia and Mandelbrot sets
Mathematica Moravica, Tome 23 (2019) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Mots-clés :
Transcendental functions, Picard-Mann hybrid iterates, Picard-Mann hybrid Julia sets, Picard-Mann hybrid Mandelbrot sets
@article{MM3_2019_23_1_a3, author = {Mahesh Chandra Joshi and Mamta Rani and Naveen Chandra}, title = {Transcendental {Picard-Mann} hybrid {Julia} and {Mandelbrot} sets}, journal = {Mathematica Moravica}, pages = {41 - 49}, publisher = {mathdoc}, volume = {23}, number = {1}, year = {2019}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2019_23_1_a3/} }
TY - JOUR AU - Mahesh Chandra Joshi AU - Mamta Rani AU - Naveen Chandra TI - Transcendental Picard-Mann hybrid Julia and Mandelbrot sets JO - Mathematica Moravica PY - 2019 SP - 41 EP - 49 VL - 23 IS - 1 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/item/MM3_2019_23_1_a3/ ID - MM3_2019_23_1_a3 ER -
Mahesh Chandra Joshi; Mamta Rani; Naveen Chandra. Transcendental Picard-Mann hybrid Julia and Mandelbrot sets. Mathematica Moravica, Tome 23 (2019) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2019_23_1_a3/