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

DOI10.1016/j.jmaa.2014.11.003zbMath1301.30002OpenAlexW2092073817MaRDI QIDQ472388

Elias Zikkos

Publication date: 19 November 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.11.003

zbMATH Keywords

interpolating varietiesFabry-Pólya gapinfinite-order differential equations

Mathematics Subject Classification ID

Dirichlet series, exponential series and other series in one complex variable (30B50) Ordinary differential equations in the complex domain (34M99)

Cites Work

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• Densities in Fabry's theorem
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• A fundamental principle for invariant subspaces in convex domains
• Geometric Characterization of Interpolating Varieties for the (FN)-Space A⁰_p of Entire Functions
• On the existence of lacunary power series analytically continuable and bounded outside sectors
• On the localization of singularities of Lacunar power series
• Singular points of the sum of a series of exponential monomials on the boundary of the convergence domain
• On Converse Gap Theorems
• Note on the Converse of Fabry's Gap Theorem
• Overconvergence phenomena and grouping in exponential representation of solutions of linear differential equations of infinite order

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