Smooth universal Taylor series on doubly connected domains

DOI10.1080/17476933.2015.1085517zbMath1342.30052OpenAlexW2278987299MaRDI QIDQ2801974

Christos Kariofillis, Chariklia Konstandilaki, Athanassia G. Bacharoglou, Vagia Vlachou

Publication date: 22 April 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1085517

zbMATH Keywords

universal Taylor seriesoverconvergenceboundary behavior of power series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Approximation in the complex plane (30E10) Boundary behavior of power series in one complex variable; over-convergence (30B30) Universal Taylor series in one complex variable (30K05)

Cites Work

• Universal Taylor series on doubly connected domains with respect to every center
• Universal Taylor series in simply connected domains
• Overconvergent series of rational functions and universal Laurent series
• Universal Taylor series for non-simply connected domains
• Universal Taylor series on doubly connected domains
• Existence of universal Taylor series for nonsimply connected domains
• Smooth universal Taylor series
• Approximation by overconvergence of a power series
• On the existence of O-universal functions
• On some classes of universal functions
• UNIVERSAL TAYLOR SERIES ON GENERAL DOUBLY CONNECTED DOMAINS
• Densely hereditarily hypercyclic sequences and large hypercyclic manifolds
• Some remarks on universal functions and Taylor series
• Universal Taylor series on unbounded open sets
• Abstract theory of universal series and applications
• Universality of Taylor series as a generic property of holomorphic functions
• Universal functions on nonsimply connected domains

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