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Two-Point Distortion Theorems for Harmonic Mappings.
- 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