书目名称 | Univalent Functions and Conformal Mapping | 副标题 | Reihe: Moderne Funkt | 编辑 | James A. Jenkins | 视频video | | 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge | 图书封面 |  | 描述 | This monograph deals with the application of the method of the extremal metric to the theory of univalent functions. Apart from an introductory chapter in which a brief survey of the development of this theory is given there is therefore no attempt to follow up other methods of treatment. Nevertheless such is the power of the present method that it is possible to include the great majority of known results on univalent functions. It should be mentioned also that the discussion of the method of the extremal metric is directed toward its application to univalent functions, there being no space to present its numerous other applications, particularly to questions of quasiconformal mapping. Also it should be said that there has been no attempt to provide an exhaustive biblio graphy, reference normally being confined to those sources actually quoted in the text. The central theme of our work is the General Coefficient Theorem which contains as special cases a great many of the known results on univalent functions. In a final chapter we give also a number of appli cations of the method of symmetrization. At the time of writing of this monograph the author has been re ceiving support f | 出版日期 | Book 1958 | 关键词 | Complex analysis; Finite; Functions; Riemann surface; boundary element method; conformal map; contour inte | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-88563-1 | isbn_softcover | 978-3-642-88565-5 | isbn_ebook | 978-3-642-88563-1 | copyright | Springer-Verlag OHG. Berlin · Göttingen · Heidelberg 1958 |
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