Restricted \(T\)-universal functions

DOI10.1006/jath.2001.3640zbMath0994.30003OpenAlexW2041889532MaRDI QIDQ1604427

Valeri A. Martirosian, Wolfgang Luh, Jürgen Müller

Publication date: 4 July 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2001.3640

zbMATH Keywords

universal functionsstarlike domainsboundary behaviour of holomorphic functionslacunary polynomial approximationlacunary power series expansionrestricted universal functions

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Approximation by polynomials (41A10)

Related Items (8)

Universality of Artin \(L\)-functions in conductor aspect ⋮ On mean approximation by polynomials with gaps on non-caratheodory domains ⋮ Lacunary tangential approximation ⋮ On the universality of multipliers on \(\mathcal H(\mathbb C)\) ⋮ The Hadamard product as a universality preserving operator ⋮ Universal holomorphic and harmonic functions with additional properties ⋮ U-Operators ⋮ A Liouville-type result for lacunary power series and converse results for universal holomorphic functions

Cites Work

• Holomorphic monsters
• Universalfunktionen in einfach zusammenhängenden Gebieten
• Universal entire functions with gap power series
• Über cluster sets analytischer Funktionen
• Universal families and hypercyclic operators
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