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.
|Journal||Bulletin of the Malaysian Mathematical Sciences Society|
|State||Published - May 2023|
- Harmonic mappings
- Two-point distortion
- Univalence criterion