Schlicht Taylor series whose convergence on the unit circle is uniform but not absolute

DOI10.2140/pjm.1951.1.75zbMath0043.08002OpenAlexW2053110518WikidataQ105742862 ScholiaQ105742862MaRDI QIDQ2649347

George Piranian, Fritz Herzog

Publication date: 1951

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1951.1.75

zbMATH Keywords

complex functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

A Minimal Proof of a Result of Hardy ⋮ Schlichte Potenzreihen, die auf \(\mid z\mid=1\) gleichmäßig, aber nicht absolut konvergieren ⋮ Schlichte Potenzreihen an der Konvergenzgrenze

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