2022/08/05 by Víctor Bravo, Rodrigo Hernández, Bravo, Víctor +3
Mathematics · #30C99 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30C45 #Secondary: 31C05
paper · pdf · doi:10.48550/arxiv.2208.03280
openalex publication_date 2022/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish two-point distortion theorems for sense-preserving planar harmonic mappings f=h+g which satisfies the univalence criteria in the unit disc such that, Becker's and Nehari`s harmonic version. In addition, we find the sharp two-point distortion theorem when h is a convex function, and normalized mappings such that h(\D) is a c-linearly connected domain. To do this, we use the order of this family.