ON POLYNOMIAL SEQUENCES WITH RESTRICTED GROWTH NEAR INFINITY

DOI10.1112/S0024609301008803zbMath1020.30044OpenAlexW2004797940WikidataQ126260995 ScholiaQ126260995MaRDI QIDQ3152352

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Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s0024609301008803

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)

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Doubly universal Taylor series ⋮ Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ⋮ Universal Laurent expansions of harmonic functions ⋮ Existence of universal Taylor series for nonsimply connected domains ⋮ Generalized universal series ⋮ Universal polynomial expansions of harmonic functions ⋮ The growth at infinity of a sequence of entire functions of bounded orders ⋮ Sets in \(\mathbb C^N\) with vanishing global extremal function and polynomial approximation ⋮ Families of Universal Taylor Series Depending on a Parameter ⋮ Taylor Series, Universality and Potential Theory ⋮ A generalization of universal Taylor series in simply connected domains ⋮ Overconvergent series of rational functions and universal Laurent series ⋮ Doubly universal Taylor series on simply connected domains ⋮ Disjoint universality for families of Taylor-type operators ⋮ Overconvergence properties of Dirichlet series ⋮ Density problems connected with overconvergence ⋮ Overconvergence of polynomial expansions of harmonic functions ⋮ Sets non-thin at \(\infty \) in \(\mathbb C^m\)

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