On the behaviour of power series in the absence of Hadamard-Ostrowski gaps

DOI10.1016/J.CRMA.2013.04.012zbMath1296.30004OpenAlexW1983303353MaRDI QIDQ351369

Markus Nieß, Jürgen Müller, Thomas Kalmes

Publication date: 11 July 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2013.04.012

zbMATH Keywords

power serieslogarithmic capacityHadamard-Ostrowski gaps

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10)

Related Items (2)

Non-normality, topological transitivity and expanding families ⋮ Mixing Taylor shifts and universal Taylor series

Cites Work

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• Universality properties of Taylor series inside the domain of holomorphy
• Baire's category theorem and trigonometric series
• Existence of universal Taylor series for nonsimply connected domains
• On the existence of O-universal functions
• On convergence in capacity
• Universal families and hypercyclic operators
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Universality of Taylor series as a generic property of holomorphic functions
• Universal functions on nonsimply connected domains

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