Journals / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 1996 / Cilt: 45 - Sayı: 1-2
Univalent harmonic mappings
- Journal
- Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Pages
- 1–12
- DOI
- —
Abstract
A family of univalent harmonic functions is studied from the point of geometric function theory. This class consists of mappings of the open unit disk onto the entire complex plane except for two infinite slits along the real axis with a normalization at the origin. Extreme points are determined, and sharp estimates for Fourier coefficients and distortion theorems are given.