Geodesic
Coefficients of Functions with Bounded Boundary Rotation
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1477-1482

Voir la notice de l'article provenant de la source Cambridge University Press

For fixed k ≧ 2, let Vk denote the class of normalized analytic functions such that z ∈ E = {z; |z| <1} are regular and have f′(0) = l,f′(z) ≠ 0, and 1 Let Sk be the subclass of Vk whose members f(z) are univalent in E. It was pointed out by Paatero (4) that Vk coincides with Sk whenever 2 ≦ k ≦ 4. Later Rényi (5) showed that in this case, f(z) ∈ Sk is also convex in one direction in E. In (6) I showed that the Bieberbach conjecture holds for functions convex in one direction. 
Robertson, M. S. Coefficients of Functions with Bounded Boundary Rotation. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 1477-1482. doi: 10.4153/CJM-1969-161-2
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