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Multivalent functions

Hayman, W. K. (1926-)

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Multivalent functions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Multivalent functions/ W.K. Hayman.
作者:	Hayman, W. K.
出版者:	Cambridge :Cambridge University Press, : 1994.,
面頁冊數:	xii, 263 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Functions. -
電子資源:	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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830 0 $a Cambridge tracts in mathematics ; $v 110. $3 3470503
856 4 0 $u https://doi.org/10.1017/CBO9780511526268