On a Generalized Fatou-Julia Theorem

DOI10.1142/S0218348X03002075zbMath1041.37023WikidataQ121734409 ScholiaQ121734409MaRDI QIDQ4474614

Dominic Rochon

Publication date: 12 July 2004

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

Julia setsCantor setsBicomplex numbers

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)

Related Items (13)

A study of dynamics of the tricomplex polynomial \(\eta ^p+c\) ⋮ On the convergence of multicomplex M-J sets to the Steinmetz hypersolids ⋮ Generalization of 3D Mandelbrot and Julia sets ⋮ Characterization of the principal 3D slices related to the multicomplex Mandelbrot set ⋮ TRICOMPLEX DYNAMICAL SYSTEMS GENERATED BY POLYNOMIALS OF ODD DEGREE ⋮ Unnamed Item ⋮ The inverse iteration method for Julia sets in the 3-dimensional space ⋮ ON A BICOMPLEX DISTANCE ESTIMATION FOR THE TETRABROT ⋮ GENERATION OF 3D JULIA SETS FROM SWITCHING POLYNOMIAL MAPS ⋮ Tricomplex Distance Estimation for Filled-In Julia Sets and Multibrot Sets ⋮ ON A GENERALIZED FATOU–JULIA THEOREM IN MULTICOMPLEX SPACES ⋮ NORMAL FAMILIES OF BICOMPLEX HOLOMORPHIC FUNCTIONS ⋮ ITERATION OF QUADRATIC MAPS ON MATRIX ALGEBRAS

Cites Work

• Unnamed Item
• A GENERALIZED MANDELBROT SET FOR BICOMPLEX NUMBERS
• A bloch constant for hyperholomorphic functions
• Complexified clifford analysis
• FRACTAL IMAGES OF GENERALIZED JULIA SETS
• ITERATION OF QUATERNION MAPS
• On the iteration of quaternionic moebius transformations

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