Universal functions as series of rational functions

DOI10.1007/s13163-013-0116-4zbMath1288.30064OpenAlexW2163071005MaRDI QIDQ395148

Martin Lamprecht, Vassilis Nestoridis

Publication date: 28 January 2014

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-013-0116-4

zbMATH Keywords

rational functionsuniversal Taylor seriesapproximation in the complex domain

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Universal Taylor series in one complex variable (30K05)

Cites Work

• Determination of a universal series
• Universal Taylor series
• Overconvergent series of rational functions and universal Laurent series
• Baire's category theorem and trigonometric series
• Identical approximative sequence for various notions of universality
• Approximation by overconvergence of a power series
• Universal Faber and Taylor series on an unbounded domain of infinite connectivity
• A Universal Taylor Series in the Doubly Connected Domain C\{1}
• UNIVERSAL APPROXIMATION PROPERTIES OF OVERCONVERGENT POWER SERIES ON OPEN SETS
• Universal families and hypercyclic operators
• Some remarks on universal functions and Taylor series
• Abstract theory of universal series and applications
• Universality of Taylor series as a generic property of holomorphic functions
• Universal functions on nonsimply connected domains
• Unnamed Item