Back to Search Start Over

Two-Point Distortion Theorems for Harmonic Mappings.

Authors :
Bravo, Víctor
Hernández, Rodrigo
Venegas, Osvaldo
Source :
Bulletin of the Malaysian Mathematical Sciences Society. May2023, Vol. 46 Issue 3, p1-13. 13p.
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01266705
Volume :
46
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Publication Type :
Academic Journal
Accession number :
163029377
Full Text :
https://doi.org/10.1007/s40840-023-01494-2