Universal Taylor series in simply connected domains

DOI10.1007/BF03321621zbMath1122.30003MaRDI QIDQ879662

Christos Kariofillis, Vassilis Nestoridis

Publication date: 14 May 2007

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

zbMATH Keywords

universal functionsuniversal Taylor seriesoverconvergence

Mathematics Subject Classification ID

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

Related Items

Universal Laurent series smooth up to a part of the boundary ⋮ Universal Padé approximants and their behaviour on the boundary ⋮ Partially smooth universal Taylor series on products of simply connected domains ⋮ Universal Taylor series without Baire and the influence of J.-P. Kahane ⋮ Smooth universal Taylor series on doubly connected domains

Cites Work

• Unnamed Item
• Unnamed Item
• Universal Taylor series
• Growth of coefficients of universal Taylor series and comparison of two classes of functions
• Baire's category theorem and trigonometric series
• Smooth universal Taylor series
• Approximation by overconvergence of a power series
• Abstract theory of universal series and an application to Dirichlet series
• On the existence of O-universal functions
• On some classes of universal functions
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski’s formula and an application to Universal Taylor series
• Universal families and hypercyclic operators
• On the Range of Universal Functions
• A STRONG NOTION OF UNIVERSAL TAYLOR SERIES
• Some remarks on universal functions and Taylor series
• Non extendable holomorphic functions
• Universality of Taylor series as a generic property of holomorphic functions