On limit functions and their natural boundaries in infinite compositions of entire functions

DOI10.1080/17476930701627561zbMATH Open1141.30009OpenAlexW2001545222MaRDI QIDQ5443492

Ramez N. Maalouf

Publication date: 21 February 2008

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

Full work available at URL: https://doi.org/10.1080/17476930701627561

zbMATH Keywords

entire functionsiteration of analytic functionscomposition of entire functionsboundary behaviour of analytic functions

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Entire functions of one complex variable (general theory) (30D20) Cluster sets, prime ends, boundary behavior (30D40)

Cites Work

• Juiia Sets and Non-Constant Limits in the Composition of Entire Functions

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