On a solution of a particular case of Aliaga-Tuneski question

Dov Aharonov, Uri Elias

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationSpringer INdAM Series
Pages157-163
Number of pages7
DOIs
StatePublished - 2017

Publication series

NameSpringer INdAM Series
Volume26
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

Keywords

  • Univalence criteria
  • Univalent functions

ASJC Scopus subject areas

  • General Mathematics

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