On the convergence of multicomplex M-J sets to the Steinmetz hypersolids

DOI10.17512/JAMCM.2016.3.07OpenAlexW2524707892MaRDI QIDQ2659366

Andrzej Katunin

Publication date: 26 March 2021

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2016.3.07

zbMATH Keywords

convergencegeneralized M-J setsmulticomplex M-J setsSteinmetz hypersolid

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Cites Work

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• A study of dynamics of the tricomplex polynomial \(\eta ^p+c\)
• The generalized M-J sets for bicomplex numbers
• The inverse iteration method for Julia sets in the 3-dimensional space
• Generalization of the Mandelbrot set: quaternionic quadratic maps
• Octonionic Julia sets
• Transition points in octonionic Julia sets
• On a visualization of the convergence of the boundary of generalized Mandelbrot set to \((n-1)\)-sphere
• Associators in generalized octonionic maps
• The general quaternionic M-J sets on the mapping \(z\leftarrow z^{\alpha}+c \, (\alpha \in \mathbf N)\)
• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• ON A GENERALIZED FATOU–JULIA THEOREM IN MULTICOMPLEX SPACES
• The One-Equator Property
• ITERATION OF QUATERNION MAPS
• On a Generalized Fatou-Julia Theorem
• ON A BICOMPLEX DISTANCE ESTIMATION FOR THE TETRABROT

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