Computational Methods and Function Theory

, Volume 11, Issue 1, pp 309–316 | Cite as

Non-Normal Sequences of Holomorphic Functions and Universality



Inspired by a lemma of Zalcman, we show that certain universal sequences of holomorphic functions can always be chosen to be non-normal. This leads to a new vision of universality in connection with non-normality.


Normal families of analytic functions universality Baire’s Theorem genericity 

2000 MSC

30D45 30K20 30H05 


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Copyright information

© Heldermann  Verlag 2011

Authors and Affiliations

  1. 1.Centre de Recherches MathématiquesUniversité de MontréalMontréalCanada
  2. 2.Department of MathematicsPanepistimiopolis University of AthensAthensGrece

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