Geometric theory of functions of a complex variable / G. M. Goluzin

Auteur principal : Goluzin, Gennadii Mikhailovich, 1906–1952, AuteurType de document : MonographieCollection : Translations of mathematical monographs, 26Langue : anglais.Pays: Etats Unis.Éditeur : Providence : American Mathematical Society, 1969Description : 1 vol. (VI-676 p.) : ill. ; 24 cmISBN: 9780821815762.ISSN: 0065-9282.Bibliographie : Bibliogr. p. 549-561 et 651-672.Sujet MSC : 30-02, Research exposition (monographs, survey articles) pertaining to functions of a complex variable
30Cxx, Functions of a complex variable - Geometric function theory
En-ligne : Zentralblatt | MathSciNet | AMS Item type: Monographie
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Bibliogr. p. 549-561 et 651-672

This book is based on lectures on geometric function theory given by the author at Leningrad State University. It studies univalent conformal mapping of simply and multiply connected domains, conformal mapping of multiply connected domains onto a disk, applications of conformal mapping to the study of interior and boundary properties of analytic functions, and general questions of a geometric nature dealing with analytic functions. The second Russian edition upon which this English translation is based differs from the first mainly in the expansion of two chapters and in the addition of a long survey of more recent developments. The book is intended for readers who are already familiar with the basics of the theory of functions of one complex variable. (source : AMS)

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