Titlebook: Univalent Functions and Conformal Mapping; James A. Jenkins Book 1958Latest edition Springer-Verlag Berlin Heidelberg 1958 Analysis.Mappin

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Symmetrization. Multivalent Functions,me effect can be obtained by the method of symmetrization. This method also permits the extension of many results for univalent functions to the case fo multivalent functions. Of course one cannot use the General Coefficient Theorem directly in these situations but . principle again provides an associated quadratic differential.

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Canonical Conformal Mappings,compactness properties of the families of functions considered. Essentially the same approach has been earlier used by . [65, 70] and . [157] but here the use of the General Coefficient Theorem provides considerable unification and simplification.

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Canonical Conformal Mappings,o some indications in the case of infinite connectivity. The method employs certain extremal properties of the canonical configurations together with compactness properties of the families of functions considered. Essentially the same approach has been earlier used by . [65, 70] and . [157] but here

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Applications of the General Coefficient Theorem. Univalent Functions,ny of these, particularly the most elementary ones, there is no mention of homotopy conditions corresponding to those which appear in the General Coefficient Theorem. The reason is that in these cases the homotopy conditions are automatically satisfied.