Boundary behaviour of functions which possess universal Taylor series

DOI10.1112/BLMS/BDS078zbMath1272.30081OpenAlexW2075042165MaRDI QIDQ4905959

Stephen J. Gardiner

Publication date: 21 February 2013

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10197/4220

zbMATH Keywords

universal Taylor seriesapproximation in the complex domainboundary behavior of power series, over-convergence

Mathematics Subject Classification ID

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)

Related Items (12)

Universal radial approximation in spaces of analytic functions ⋮ Doubly universal Taylor series ⋮ Abel universal functions ⋮ Universal Taylor series on specific compact sets ⋮ Boundary behaviour of universal Taylor series ⋮ Taylor Series, Universality and Potential Theory ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains ⋮ Universal Taylor series, conformal mappings and boundary behaviour ⋮ A convergence theorem for harmonic measures with applications to Taylor series ⋮ Disjoint universality for families of Taylor-type operators ⋮ Boundary behaviour of Dirichlet series with applications to universal series ⋮ From universality to generic non-extendability and total unboundedness in spaces of holomorphic functions

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