Geodesic
Some Results on Spiral-Like Functions
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 633-637

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

We begin with the following definitions.Let f(z) be regular near z=0 and let f(0)=0, f'(0)≠0. Let α and λ be two real numbers such that |α|<π/2 and 0≤λ1. Then Rα,λ is the largest value of r such that the following conditions are satisfied for |z|<r 
Bagşöze, Türkân. Some Results on Spiral-Like Functions. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 633-637. doi: 10.4153/CMB-1975-111-0
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[1] 1. Barr, A. F., The radius of univalence of certain classes of analytic functions Ph.D. Dissertation. The University of Mississippi, (1971). Google Scholar

[2] 2. Başgöze, T., On the univalence of certain classes of analytic functions, J. London Math. Soc. (2), 1 (1969), p. 140–144. Google Scholar

[3] 3. Alexander, J. W., Functions which map the interior of the unit circle upon simple regions, Ann. of Math. 17 (1915), p. 12–22. Google Scholar

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