On Fixed Points of Composite Entire Functions

DOI10.1112/jlms/s2-28.1.57zbMath0487.30015OpenAlexW2000540259MaRDI QIDQ3947882

Fred Gross, L. F. Osgood

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-28.1.57

zbMATH Keywords

entire functionstranscendentalfixed points of composite entire 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)

Related Items (9)

On fixed points of composite meromorphic functions ⋮ Permutability of entire functions satisfying certain differential equations ⋮ Family of analytic mappings between ultrahyperelliptic surfaces ⋮ On the fixpoints of composite meromorphic functions and generalizations ⋮ Permutable functions concerning differential equations ⋮ Dynamics of permutable transcendental entire functions ⋮ Further Results on Fixpoints and Zeros of Entire Functions ⋮ Fix-points of meromorphic functions and iterated entire functions ⋮ A simpler proof of a theorem of Steinmetz

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