Publications de l'Institut Mathématique, Nouvelle Série Vol. 84(98), pp. 61–72 (2008) 

VERSIONS OF KOEBE 1/4 THEOREM FOR ANALYTIC AND QUASIREGULAR HARMONIC FUNCTIONS AND APPLICATIONSMiodrag MateljevicMatematicki fakultet, Beograd, SerbiaAbstract: In this paper we mainly survey results obtained in [MM3]. For example, we give an elementary proof of two versions of Koebe $1/4$ theorem for analytic functions (see Theorem 1.2 and Theorem 1.4 below). We also show a version of the Koebe theorem for quasiregular harmonic functions. As an application, we show that holomorphic functions (more generally quasiregular harmonic functions) and their modulus have similar behavior in a certain sense. Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 9 Dec 2008. This page was last modified: 12 Dec 2008.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
