Two-point distortion theorems for harmonic mappings. (2023). Bravo, V.; Hernández, R.; Venegas, O.

abril 11, 2023
Bulletin of the Malaysian Mathematical Sciences Society

Abstract:

We establish two-point distortion theorems for sense-preserving planar harmonic mappings f=h+g¯¯¯�=ℎ+�¯ 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)ℎ(�) is a c-linearly connected domain.

DOI:

https://doi.org/10.1007/s40840-023-01494-2

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