Two-Point Distortion Theorems for Harmonic Mappings

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Authors
Bravo, Victor
Hernandez, Rodrigo
Venegas, Osvaldo
Profesor GuĆ­a
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Date
Datos de publicaciĆ³n:
10.1007/s40840-023-01494-2
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY,Vol.46,,2023
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Article
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Materia geogrƔfica
Abstract
We establish two-point distortion theorems for sense-preserving planar harmonic map -pings 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 theo-rems for the cases when h is a normalized convex function and, more generally, when h(D) is a c-linearly connected domain.
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