Geodesic
Univalent harmonic mappings II
Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 131-145.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $f_z̅(0) = 0$.
DOI : 10.4064/ap-67-2-131-145
Keywords: univalent harmonic mappings, coefficient bounds, distortion theorems

Albert Livingston 1

1 
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Albert Livingston. Univalent harmonic mappings II. Annales Polonici Mathematici, Tome 67 (1997) no. 2, pp. 131-145. doi : 10.4064/ap-67-2-131-145. http://geodesic.mathdoc.fr/articles/10.4064/ap-67-2-131-145/

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