On the univalence of certain integral for harmonic mappings

Víctor Bravo, Rodrigo Hernández, Osvaldo Venegas

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We generalize the problem of univalence of the integral of f(z)α when f is univalent to the complex harmonic mappings. To do this, we extend the univalence criterion by Ahlfors in [1] to those mappings.

Original languageEnglish
Pages (from-to)381-388
Number of pages8
JournalJournal of Mathematical Analysis and Applications
Volume455
Issue number1
DOIs
StatePublished - 1 Nov 2017

Keywords

  • Harmonic mapping
  • Integral transform
  • Univalent functions

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