Hausdorff dimension of radial and escaping points for transcendental meromorphic functions

zbMath1175.37049MaRDI QIDQ733374

Janina Kotus, Mariusz Urbański

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1254403730

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (2)

Dynamics of hyperbolic meromorphic functions ⋮ Hausdorff dimensions of escaping sets of transcendental entire functions

Cites Work

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• Escaping points of meromorphic functions with a finite number of poles
• The size of the Julia set of meromorphic functions
• Iterates of meromorphic functions: I
• The domains of normality of an entire function
• Iteration of meromorphic functions
• The Hausdorff Dimension of Julia Sets of Meromorphic Functions
• HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS
• On the Hausdorff dimension of Julia sets of meromorphic functions. II
• The Hausdorff dimension of Julia sets of entire functions II
• Dimensions and Measures in Infinite Iterated Function Systems
• Dimensions of Julia sets of meromorphic functions with finitely many poles

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