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Multivalent functions

Hayman, W. K. (1926-)

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Multivalent functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Multivalent functions/ W.K. Hayman.
Author:	Hayman, W. K.
Published:	Cambridge :Cambridge University Press, : 1994.,
Description:	xii, 263 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Functions. -
Online resource:	https://doi.org/10.1017/CBO9780511526268
ISBN:	9780511526268

Multivalent functions
Hayman, W. K.1926-

Multivalent functions[electronic resource] /W.K. Hayman. - Second edition. - Cambridge :Cambridge University Press,1994. - xii, 263 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;110. - Cambridge tracts in mathematics ;110..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' theorem which, in 1985, settled the long-standing Bieberbach conjecture. The second edition of Professor Hayman's celebrated book contains a full and self-contained proof of this result, with a chapter devoted to it. Another chapter deals with coefficient differences. It has been updated in several other ways, with theorems of Baernstein and Pommerenke on univalent functions of restricted growth, and an account of the theory of mean p-valent functions. In addition, many of the original proofs have been simplified. Each chapter contains examples and exercises of varying degrees of difficulty designed both to test understanding and illustrate the material. Consequently it will be useful for graduate students, and essential for specialists in complex function theory.

ISBN: 9780511526268Subjects--Topical Terms:

535928
Functions.

LC Class. No.: QA331 / .H34 1994

Dewey Class. No.: 515.9

Multivalent functions
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100 1 $a Hayman, W. K. $q (Walter Kurt), $d 1926- $3 3470502
245 1 0 $a Multivalent functions $h [electronic resource] / $c W.K. Hayman.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 1994.
300 $a xii, 263 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 110
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' theorem which, in 1985, settled the long-standing Bieberbach conjecture. The second edition of Professor Hayman's celebrated book contains a full and self-contained proof of this result, with a chapter devoted to it. Another chapter deals with coefficient differences. It has been updated in several other ways, with theorems of Baernstein and Pommerenke on univalent functions of restricted growth, and an account of the theory of mean p-valent functions. In addition, many of the original proofs have been simplified. Each chapter contains examples and exercises of varying degrees of difficulty designed both to test understanding and illustrate the material. Consequently it will be useful for graduate students, and essential for specialists in complex function theory.
650 0 $a Functions. $3 535928
830 0 $a Cambridge tracts in mathematics ; $v 110. $3 3470503
856 4 0 $u https://doi.org/10.1017/CBO9780511526268