Geodesic
On the Residuum of Concave Univalent Functions
Serdica Mathematical Journal, Tome 32 (2006) no. 2-3, pp. 209-214.

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Let D denote the open unit disc and f:D→[`C] be meromorphic and injective in D. We further assume that f has a simple pole at the point p О (0,1) and is normalized by f(0) = 0 and f′(0) = 1. In particular, we are concerned with f that map D onto a domain whose complement with respect to [`C] is convex. Because of the shape of f(D) these functions will be called concave univalent functions with pole p and the family of these functions is denoted by Co(p). We determine for fixed p ∈ (0,1) the set of variability of the residuum of f, f ∈ Co(p).
Keywords: Concave Univalent Functions, Domain of Variability, Residuum 
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     title = {On the {Residuum} of {Concave} {Univalent} {Functions}},
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Wirths, K.-J. On the Residuum of Concave Univalent Functions. Serdica Mathematical Journal, Tome 32 (2006) no. 2-3, pp. 209-214. http://geodesic.mathdoc.fr/item/SMJ2_2006_32_2-3_a4/