Power series: localization of singularities on the boundary of the disk of convergence

DOI10.3103/S106836231705003XzbMath1381.30003OpenAlexW2787053227MaRDI QIDQ680074

N. H. Arakelian

Publication date: 22 January 2018

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106836231705003x

zbMATH Keywords

analytic continuationsingularities of power series

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Boundary behavior of power series in one complex variable; over-convergence (30B30) Analytic continuation of functions of one complex variable (30B40)

Cites Work

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• Efficient analytic continuation of power series with vector-valued coefficients
• Harmonic Function Theory
• The converse of the Fabry-Pólya theorem on singularities of lacunary power series
• ON EFFICIENT ANALYTIC CONTINUATION OF POWER SERIES
• On the localization of singularities of Lacunar power series

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