On Uniformly Perfect Boundaries of Stable Domains in Iteration of Meromorphic Functions

DOI10.1112/S0024609300007013zbMath1019.37029OpenAlexW2319302714MaRDI QIDQ4520349

Jian-Hua Zheng

Publication date: 13 December 2000

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609300007013

zbMATH Keywords

Julia setmeromorphic functionuniform perfectnessstable domains

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (4)

Uniformly perfect Julia sets of meromorphic functions ⋮ On Julia limiting directions of meromorphic functions ⋮ ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS ⋮ Iteration of functions which are meromorphic outside a small set

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