Universal Taylor series on doubly connected domains with respect to every center

DOI10.1016/j.jat.2004.09.003zbMath1076.30004OpenAlexW1984554070MaRDI QIDQ555883

George Costakis

Publication date: 10 June 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.09.003

zbMATH Keywords

Taylor seriesBaire's theoremRunge's theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (11)

Interpolation by universal, hypercyclic functions ⋮ Existence of universal Taylor series for nonsimply connected domains ⋮ Determination of a universal series ⋮ Taylor Series, Universality and Potential Theory ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains ⋮ Universal Faber and Taylor series on an unbounded domain of infinite connectivity ⋮ Universal Taylor series for non-simply connected domains ⋮ Universal Faber series with Hadamard-Ostrowski gaps ⋮ Universal Taylor series on non-simply connected domains ⋮ Universal Taylor series on open subsets of Rn ⋮ Smooth universal Taylor series on doubly connected domains

Cites Work

• Unnamed Item
• Universal Taylor series
• Growth of coefficients of universal Taylor series and comparison of two classes of functions
• Approximation by overconvergence of a power series
• On the existence of O-universal functions
• A Universal Taylor Series in the Doubly Connected Domain C\{1}
• UNIVERSAL TAYLOR SERIES ON GENERAL DOUBLY CONNECTED DOMAINS
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Universality of Taylor series as a generic property of holomorphic functions
• Universal functions on nonsimply connected domains

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