Univalent Functions And Conformal Mapping

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Univalent Functions And Conformal Mapping

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Author : James A. Jenkins
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Univalent Functions And Conformal Mapping written by James A. Jenkins and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 from the National Science Foundation for which he wishes to express his gratitude. His thanks are due also to Sister BARBARA ANN Foos for the use of notes taken at the author's lectures in Geo metric Function Theory at the University of Notre Dame in 1955-1956.

Univalent Functions And Conformal Mapping

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Author : James Allister Jenkins
language : de
Publisher: Springer-Verlag
Release Date : 2013-11-11

Univalent Functions And Conformal Mapping written by James Allister Jenkins and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

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 from the National Science Foundation for which he wishes to express his gratitude. His thanks are due also to Sister BARBARA ANN Foos for the use of notes taken at the author's lectures in Geo metric Function Theory at the University of Notre Dame in 1955-1956.

Univalent Functions And Conformal Mapping

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Author : James Allister Jenkins
language : en
Publisher:
Release Date : 1965

Univalent Functions And Conformal Mapping written by James Allister Jenkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Conformal mapping categories.

Conformal Mapping

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Author : Zeev Nehari
language : en
Publisher:
Release Date : 1952

Conformal Mapping written by Zeev Nehari and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Conformal mapping categories.

Univalent Functions And Conformal Mapping

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Author : James Allister Jenkins
language : en
Publisher:
Release Date : 1965

Univalent Functions And Conformal Mapping written by James Allister Jenkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

Univalent Functions And Conformal Mapping

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Author : David Sole
language : en
Publisher:
Release Date : 1937

Univalent Functions And Conformal Mapping written by David Sole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1937 with categories.

Univalent Functions And Conformal Mapping

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Author : James Allister Jenkins
language : en
Publisher:
Release Date : 1965

Univalent Functions And Conformal Mapping written by James Allister Jenkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.

Univalent Functions Selected Topics

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Author : G. Schober
language : en
Publisher: Springer
Release Date : 2006-11-14

Univalent Functions Selected Topics written by G. Schober and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

Applied And Computational Complex Analysis Volume 3

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Author : Peter Henrici
language : en
Publisher: John Wiley & Sons
Release Date : 1993-04-16

Applied And Computational Complex Analysis Volume 3 written by Peter Henrici and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-04-16 with Mathematics categories.

Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Boundary Behaviour Of Conformal Maps

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Author : Christian Pommerenke
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Boundary Behaviour Of Conformal Maps written by Christian Pommerenke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.

We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. A principal aim of the theory is to obtain a one-to-one correspondence between analytic properties of the function and geometrie properties of the domain. In the classical applications of conformal mapping, the domain is bounded by a piecewise smooth curve. In many recent applications however, the domain has a very bad boundary. It may have nowhere a tangent as is the case for Julia sets. Then the conformal map has many unexpected properties, for instance almost all the boundary is mapped onto almost nothing and vice versa. The book is meant for two groups of users. (1) Graduate students and others who, at various levels, want to learn about conformal mapping. Most sections contain exercises to test the understand ing. They tend to be fairly simple and only a few contain new material. Pre requisites are general real and complex analyis including the basic facts about conformal mapping (e.g. AhI66a). (2) Non-experts who want to get an idea of a particular aspect of confor mal mapping in order to find something useful for their work. Most chapters therefore begin with an overview that states some key results avoiding tech nicalities. The book is not meant as an exhaustive survey of conformal mapping. Several important aspects had to be omitted, e.g. numerical methods (see e.g.