On the number of fix-points of iterated entire functions

DOI10.1007/BF01191691zbMath0697.30023OpenAlexW2075191474MaRDI QIDQ910888

Walter Bergweiler

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191691

zbMATH Keywords

entire functionperiodic pointiterategeneralized ordersWiman-Valiron theoryfix-points

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (2)

Iteration of meromorphic functions ⋮ On the fixpoints of composite meromorphic functions and generalizations

Cites Work

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• Untersuchungen ganzer und meromorpher Funktionen unendlicher Ordnung
• Über das Wachstum gewisser Klassen kanonischer Produkte
• The existence of fixpoints of entire functions
• Fixpoint and iterates of entire functions
• Über das Wachstum zusammengesetzter Funktionen
• Periodic points of entire functions: proof of a conjecture of Baker

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