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Titlebook: Univalent Functions and Conformal Mapping; Reihe: Moderne Funkt James A. Jenkins Book 1958 Springer-Verlag OHG. Berlin · Göttingen · Heidel

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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Titlebook: Univalent Functions and Conformal Mapping; Reihe: Moderne Funkt James A. Jenkins Book 1958 Springer-Verlag OHG. Berlin · Göttingen · Heidel
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
doihttps://doi.org/10.1007/978-3-642-88563-1
isbn_softcover978-3-642-88565-5
isbn_ebook978-3-642-88563-1
copyrightSpringer-Verlag OHG. Berlin · Göttingen · Heidelberg 1958
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Introduction,icients in power series expansions, function values and derivatives. These problems are often closely connected with questions in conformal mapping and indeed in many cases have arisen from them. For the sake of definiteness we give firstDefinition 1.1. . (z) .. . (z) . ., .∊., . = ., .
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ory 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 sho
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Introduction,bed domains which may be simply-or multiplyconnected especially from the aspects of the values which they assume and extremal problems for their coefficients in power series expansions, function values and derivatives. These problems are often closely connected with questions in conformal mapping an
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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.
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