The area of the Mandelbrot set

DOI10.1007/BF01385497zbMath0745.30026OpenAlexW2048018662MaRDI QIDQ1185490

John H. Ewing, Glenn Schober

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133610

zbMATH Keywords

Julia setMandelbrot setarea estimatescomputation of coefficients

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items

Convergence properties of the Gronwall area formula for quadratic Julia sets, A brief note on fractal dynamics of fractional Mandelbrot sets, Fractal diffusion patterns of periodic points in the Mandelbrot set, A remark on Zagier's observation of the Mandelbrot set, Coefficients of the Riemann map for the Mandelbrot set complement, Taylor Coefficients of the Conformal Map for the Exterior of the Reciprocal of the Multibrot Set, On numerical approximations of the area of the generalized Mandelbrot sets, The area of the Mandelbrot set and Zagier's conjecture, FAMILY OF INVARIANT CANTOR SETS AS ORBITS OF DIFFERENTIAL EQUATIONS II: JULIA SETS

Cites Work

• The uniformization of the complement of the Mandelbrot set
• On the coefficients of the mapping to the exterior of the Mandelbrot set
• On the arithmetic properties of a certain sequence of polynomials
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