Generic approach to multiply universal functions

DOI10.1080/17476930802130523zbMath1153.30003OpenAlexW2142750064MaRDI QIDQ3524763

Markus Nieß

Publication date: 12 September 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802130523

zbMATH Keywords

interpolationzerosapproximation in the complex domainuniversalityBaire spaces

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Approximation in the complex plane (30E10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Moment problems and interpolation problems in the complex plane (30E05) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (4)

Universal functions with prescribed zeros and interpolation properties ⋮ Interpolation property for hypercyclic elements of the Taylor shift operator ⋮ Interpolation by universal, hypercyclic functions ⋮ Interpolation by hypercyclic functions for differential operators

Cites Work

• Sequences of derivatives and normal families
• Entire functions with various universal properties
• Some remarks on universal functions and Taylor series
• Zeros and interpolation by universal Taylor series on simply connected domains
• On the zeros of T-universal functions

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