Geodesic
On a class of starlike functions defined in a halfplane
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 81-86.

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Let D = {z: Re z 0} and let S*(D) be the class of univalent functions normalized by the conditions $lim_{D ∋ z → ∞}(f(z) - z) = a$, a a finite complex number, 0 ∉ f(D), and mapping D onto a domain f(D) starlike with respect to the exterior point w = 0. Some estimates for |f(z)| in the class S*(D) are derived. An integral formula for f is also given.
DOI : 10.4064/ap-55-1-81-86

G. Dimkov 1 ; J. Stankiewicz 1 ; Z. Stankiewicz 1

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G. Dimkov; J. Stankiewicz; Z. Stankiewicz. On a class of starlike functions defined in a halfplane. Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 81-86. doi : 10.4064/ap-55-1-81-86. http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-81-86/

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