Valiron, Nevanlinna and Picard exceptional sets of iterations of rational functions

DOI10.3792/pjaa.81.23zbMath1094.30030OpenAlexW2082629024MaRDI QIDQ2577613

Yûsuke Okuyama

Publication date: 3 January 2006

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116442055

zbMATH Keywords

iterationequidistributionrational functioncomplex dynamicsSchröder equationValiron exceptional set

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Functional equations for complex functions (39B32)

Related Items (1)

Nevanlinna theoretical exceptional sets of rational towers and semigroups

Cites Work

• Exceptional values for meromorphic solutions of some difference equations
• Invariant sets under iteration of rational functions
• An invariant measure for rational maps
• Deficiency for meromorphic solutions of schröder equations
• Borel and Julia directions of meromorphic Schröder functions
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