Rotations and convolutions of harmonic convex mappings
Abstract
In this paper, we consider the convolutions of slanted half-plane mappings and strip mappings and generalize related results in general settings. We also consider a class of harmonic mappings containing slanted half-plane mappings and strip mappings and, as a consequence, we prove that the convex combination of such mappings is convex.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2019
- DOI:
- 10.48550/arXiv.1909.12602
- arXiv:
- arXiv:1909.12602
- Bibcode:
- 2019arXiv190912602L
- Keywords:
-
- Mathematics - Complex Variables;
- 31A05 (Primary);
- 30C45;
- 30C20 (Secondary)
- E-Print:
- 18 pages