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 $f_z̅(0) = 0$.
Keywords:
univalent harmonic mappings, coefficient bounds, distortion theorems
Affiliations des auteurs :
Albert Livingston 1
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author = {Albert Livingston},
title = {Univalent harmonic mappings {II}},
journal = {Annales Polonici Mathematici},
pages = {131--145},
publisher = {mathdoc},
volume = {67},
number = {2},
year = {1997},
doi = {10.4064/ap-67-2-131-145},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-67-2-131-145/}
}
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
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