A survey of a selection of methods for determination of Koebe sets

Magdalena Gregorczyk, Leopold Koczan

Abstract


In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.

Keywords


Koebe domains; covering domains

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References


Goodman, A. W., The domain covered by a typically real function, Proc. Amer. Math. Soc. 64 (1977), 233-237.

Koczan, L., Typically real functions convex in the direction of the real axis, Ann. Univ. Mariae Curie-Skłodowska Sect. A 43 (1991), 23-29.

Sobczak-Kneć, M., Obszary Koebe’go i obszary pokrycia oraz zagadnienia ekstremalne w pewnych klasach funkcji analitycznych, Ph.D. dissertation, Lublin University of Technology, Lublin, 2011 (Polish).




DOI: http://dx.doi.org/10.17951/a.2017.71.2.63
Date of publication: 2017-12-18 20:31:33
Date of submission: 2017-12-16 23:07:56


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Copyright (c) 2017 Magdalena Gregorczyk, Leopold Koczan