On compositions of analytic self-mappings of a convex domain

DOI10.1007/BF01198477zbMath0715.30022MaRDI QIDQ752224

I. N. Baker, Philip J. Rippon

Publication date: 1990

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

zbMATH Keywords

iterationcompositionDenjoy-Wolff theorem644.30014analytic self-mapping

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (8)

Generalized iteration ⋮ A convergence question inspired by Stieltjes and by value sets in continued fraction theory ⋮ Semi-groups of analytic functions that contain the identity map ⋮ Repeated compositions of Möbius transformations ⋮ Random iterations of holomorphic contractions in locally convex spaces and of weaker contractions in uniform spaces ⋮ Repeated compositions of analytic maps ⋮ Semi-groups of analytic maps ⋮ Random iterations of holomorphic maps in complex Banach spaces

Cites Work

• Unnamed Item
• Convergence of Infinite Exponentials with Complex Elements
• Towers of exponents and other composite maps

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