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Non-normal sequences of holomorphic functions and universality

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Publication:643210
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DOI10.1007/BF03321805zbMath1267.30085OpenAlexW2045709690MaRDI QIDQ643210

Richard Fournier, Vassilis Nestoridis

Publication date: 28 October 2011

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

Full work available at URL: https://doi.org/10.1007/bf03321805


zbMATH Keywords

universalitynormal family of analytic functions


Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Spaces of bounded analytic functions of one complex variable (30H05) Compositional universality (30K20)


Related Items (1)

Approximating all meromorphic functions by linear motions of the Riemann zeta-function




Cites Work

  • Unnamed Item
  • Holomorphic monsters
  • 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
  • Bloch's principle
  • A Heuristic Principle in Complex Function Theory
  • Universal families and hypercyclic operators
  • Abstract theory of universal series and applications
  • Non extendable holomorphic functions
  • Universal sequences for Zalcman's Lemma and Qm-normality




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