Construction of a universal Laurent series

DOI10.1007/BF03321103zbMath1098.30004MaRDI QIDQ2492084

Daniel Mayenberger, Vagia Vlachou

Publication date: 6 June 2006

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

finitely connected domainUniversal functionsuniversal Laurent series

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Boundary behavior of power series in one complex variable; over-convergence (30B30)

Related Items (2)

Universal Laurent series on domains of infinite connectivity ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains

Cites Work

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• Universal Taylor series
• On the existence of O-universal functions
• On some classes of universal functions
• A Universal Taylor Series in the Doubly Connected Domain C\{1}
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Coincidence of Two Classes of Universal Laurent Series
• UNIVERSAL OVERCONVERGENCE AND OSTROWSKI-GAPS
• Universality of Taylor series as a generic property of holomorphic functions
• Universal functions on nonsimply connected domains

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