On a Solution of a Particular Case of Aliaga-Tuneski Question

  • Dov Aharonov
  • Uri EliasEmail author
Part of the Springer INdAM Series book series (SINDAMS, volume 26)


Z. Nehari found sufficient conditions implying univalence of analytic functions, expressed in terms of the Schwarzian derivative. His theorem had been used by us to generate additional families of conditions for univalence, depending on parameters.

Recently, Aliaga and Tuneski used the method of selecting parameters to find a new criterion for univalence of analytic functions. However, they presented determining specific suitable values of the parameters and their precise domain of admissibility for this family as an open question.

In what follows we obtain additional information about the exact domain of possible parameters in the family of criteria studied by Aliaga and Tuneski.


Univalent functions Univalence criteria 

Mathematics Subject Classification



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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.TechnionHaifaIsrael

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