Geodesic
Univalent harmonic mappings
Annales Polonici Mathematici, Tome 57 (1992) no. 1, pp. 57-70.

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Let a 0, Ω = ℂ -(-∞, a] and U = {z: |z| 1}. We consider the class $S_H(U,Ω)$ of functions f which are univalent, harmonic and sense preserving with f(U) = Ω and satisfy f(0) = 0, $f_z(0) > 0$ and $f_{z̅}(0) = 0$. We describe the closure $\overline{S_H(U,Ω)}$ of $S_H(U,Ω)$ and determine the extreme points of $\overline{S_H(U,Ω)}$.
DOI : 10.4064/ap-57-1-57-70

Albert Livingston 1

1 
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Albert Livingston. Univalent harmonic mappings. Annales Polonici Mathematici, Tome 57 (1992) no. 1, pp. 57-70. doi : 10.4064/ap-57-1-57-70. http://geodesic.mathdoc.fr/articles/10.4064/ap-57-1-57-70/

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