On a class of starlike functions defined in a halfplane
Annales Polonici Mathematici, Tome 55 (1991) no. 1, pp. 81-86
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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.
Affiliations des auteurs :
G. Dimkov 1 ; J. Stankiewicz 1 ; Z. Stankiewicz 1
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author = {G. Dimkov and J. Stankiewicz and Z. Stankiewicz},
title = {On a class of starlike functions defined in a halfplane},
journal = {Annales Polonici Mathematici},
pages = {81--86},
year = {1991},
volume = {55},
number = {1},
doi = {10.4064/ap-55-1-81-86},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-81-86/}
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TY - JOUR AU - G. Dimkov AU - J. Stankiewicz AU - Z. Stankiewicz TI - On a class of starlike functions defined in a halfplane JO - Annales Polonici Mathematici PY - 1991 SP - 81 EP - 86 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-55-1-81-86/ DO - 10.4064/ap-55-1-81-86 LA - en ID - 10_4064_ap_55_1_81_86 ER -
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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
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