Two-Point Distortion Theorems for Harmonic Mappings

Víctor Bravo, Rodrigo Hernández, Osvaldo Venegas

Research output: Contribution to journalArticlepeer-review


We establish two-point distortion theorems for sense-preserving planar harmonic mappings f= h+ g¯ in the unit disk D which satisfy harmonic versions of the univalence criteria due to Becker and Nehari. In addition, we also find two-point distortion theorems for the cases when h is a normalized convex function and, more generally, when h(D) is a c-linearly connected domain.

Original languageEnglish
Article number100
JournalBulletin of the Malaysian Mathematical Sciences Society
Issue number3
StatePublished - May 2023
Externally publishedYes


  • Harmonic mappings
  • Two-point distortion
  • Univalence criterion


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