Overconvergent series of rational functions and universal Laurent series

DOI10.1007/S11854-008-0023-7zbMath1156.30030OpenAlexW2003058370MaRDI QIDQ940791

B. E. Eshmatov

Publication date: 3 September 2008

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-008-0023-7

Mathematics Subject Classification ID

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

Related Items (9)

Doubly universal Taylor series ⋮ Universal Laurent series on domains of infinite connectivity ⋮ Universal Laurent expansions of harmonic functions ⋮ Universal functions as series of rational functions ⋮ Universal Taylor series on specific compact sets ⋮ Taylor Series, Universality and Potential Theory ⋮ Boundary behaviour of universal Taylor series on~multiply connected domains ⋮ Smooth universal Taylor series on doubly connected domains ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

• Unnamed Item
• On some classes of universal functions
• ON POLYNOMIAL SEQUENCES WITH RESTRICTED GROWTH NEAR INFINITY
• UNIVERSAL LAURENT SERIES
• 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

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