On the radial behavior of universal Taylor series

DOI10.1007/S00605-004-0276-XzbMath1079.30002OpenAlexW1980155213MaRDI QIDQ1780918

George Costakis

Publication date: 14 June 2005

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-004-0276-x

zbMATH Keywords

universal Taylor seriesBaire's theoremMergelyan's approximation theoremNersesjan's approximation 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 (12)

Universal radial approximation in spaces of analytic functions ⋮ Abel universal functions ⋮ Determination of a universal series ⋮ Boundary behaviour of universal Taylor series ⋮ Summability of elongated sequences ⋮ Taylor Series, Universality and Potential Theory ⋮ Universal Taylor series, conformal mappings and boundary behaviour ⋮ Holomorphic functions with universal boundary behaviour ⋮ A convergence theorem for harmonic measures with applications to Taylor series ⋮ Universal Taylor series with maximal cluster sets ⋮ Universal Taylor series on arbitrary planar domains ⋮ Spurious limit functions of Taylor series

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