On a class of starlike functions defined in a halfplane

doi:https://doi.org/10.4064/ap-55-1-81-86

On a class of starlike functions defined in a halfplane

Georgi Dimkov,Jan Stankiewicz,Zofia Stankiewicz-1991-01-01-Annales Polonici Mathematici

TL;DRAbstract

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.

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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.

Keywords

MathematicsClass (philosophy)Domain (mathematical analysis)Point (geometry)Pure mathematicsCombinatoricsMathematical analysisGeometry

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