Meromorphic solutions of functional equationsf(G(z))=R(f(z))

DOI10.1080/17476933.2010.504833zbMath1254.39011OpenAlexW2037378456MaRDI QIDQ5389563

Mitsunori Yakou, Katsuya Ishizaki, Shunsuke Morosawa

Publication date: 21 April 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.504833

zbMATH Keywords

functional equationJulia setsmeromorphic solutionspolynomial solutionmethod of Hukuhara-Kimurapolynomial semiconjugacy

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Functional equations for complex functions (39B32)

Cites Work

• Factorization of entire solutions of some difference equations
• Transcendency of local conjugacies in complex dynamics and transcendency of their values
• On certain compositions of functions of a complex variable
• On semiconjugation of entire functions
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