On the existence of lacunary power series analytically continuable and bounded outside sectors

DOI10.1080/17476930902998910zbMath1173.30003OpenAlexW2183368158MaRDI QIDQ5191223

Leonhard Frerick, Jürgen Müller, Valeri A. Martirosian

Publication date: 29 July 2009

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

Full work available at URL: https://doi.org/10.1080/17476930902998910

zbMATH Keywords

analytic continuationsign changelacunary power seriesfunction of exponential typecoefficient functionsMüntz-type condition

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 (1)

Solutions of infinite order differential equations without the grouping phenomenon and a generalization of the Fabry-Pólya theorem

Cites Work

• On Converse Gap Theorems
• A Generalization of Carlson's Theorem

This page was built for publication: On the existence of lacunary power series analytically continuable and bounded outside sectors