Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2523

 Title: On the Residuum of Concave Univalent Functions Authors: Wirths, K.-J. Keywords: Concave Univalent FunctionsDomain of VariabilityResiduum Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 32, No 2-3, (2006), 209p-214p Abstract: 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). Description: 2000 Mathematics Subject Classification: 30C25, 30C45. URI: http://hdl.handle.net/10525/2523 ISSN: 1310-6600 Appears in Collections: Volume 32, Number 2-3

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