A version of Fabry’s theorem for power series with regularly varying coefficients

DOI10.1090/S0002-9939-08-09652-4zbMath1163.30007arXiv0710.5894OpenAlexW2018543308MaRDI QIDQ3542059

Alexandre Eremenko

Publication date: 27 November 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5894

zbMATH Keywords

Fabry's theorem

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Analytic continuation of functions of one complex variable (30B40)

Related Items

On Fabry’s Quotient Theorem, A Taylor - Dirichlet series with no singularities on its abscissa of convergence, Solutions of infinite order differential equations without the grouping phenomenon and a generalization of the Fabry-Pólya theorem, Analytic continuation of Taylor-Dirichlet series and non-vanishing solutions of a differential equation of infinite order

Cites Work

• Some properties of the Riesz charge associated with a \(\delta\)- subharmonic function
• Densities in Fabry's theorem
• On the localization of singularities of Lacunar power series
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