Mapping properties of a class of univalent functions with pre-assigned zero and pole
Z. A. Lewandowski, R. J. Libera, E. J. Zlotkiewicz (1983)
Annales Polonici Mathematici
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Z. A. Lewandowski, R. J. Libera, E. J. Zlotkiewicz (1983)
Annales Polonici Mathematici
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Annales Polonici Mathematici
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A sufficient univalence condition for meromorphic functions is given
Dernek, A. (1994)
International Journal of Mathematics and Mathematical Sciences
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Colloquium Mathematicae
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Ghanim, F., Darus, M. (2010)
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2000 Mathematics Subject Classification: 30C25, 30C45. 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...
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International Journal of Mathematics and Mathematical Sciences
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