Univalent harmonic mappings II
Volume 67 / 1997
Annales Polonici Mathematici 67 (1997), 131-145
DOI: 10.4064/ap-67-2-131-145
Abstract
Let a < 0 < b and Ω(a,b) = ℂ - ((-∞, a] ∪ [b,+∞)) and U= {z: |z| < 1}. We consider the class $S_H (U,Ω(a,b))$ of functions f which are univalent, harmonic and sense-preserving with f(U) = Ω and satisfying f(0) = 0, $f_z(0) > 0$ and $f_z̅(0) = 0$.
