On a class of starlike functions defined in a halfplane
Tom 55 / 1991
Annales Polonici Mathematici 55 (1991), 81-86
DOI: 10.4064/ap-55-1-81-86
Streszczenie
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.
