Contact points and fractional singularities for semigroups of holomorphic self-maps of the unit disc

DOI10.1007/s11854-016-0034-8zbMath1375.30006arXiv1309.2813OpenAlexW2963663989MaRDI QIDQ518564

Pavel Gumenyuk, Filippo Bracci

Publication date: 28 March 2017

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2813

zbMATH Keywords

one-parameter semigroupKoenigs functionholomorphic self-map

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Conformal mappings of special domains (30C20) Dynamical systems over complex numbers (37F99)

Related Items (max. 100)

Filtrations of infinitesimal generators ⋮ Parametric representation of univalent functions with boundary regular fixed points ⋮ Value regions of univalent self-maps with two boundary fixed points ⋮ Backward orbits and petals of semigroups of holomorphic self-maps of the unit disc ⋮ Topological invariants for semigroups of holomorphic self-maps of the unit disk ⋮ Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disk

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