| Document Type
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BL
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| Record Number
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844963
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| Main Entry
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Hua, Xin-Hou
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| Title & Author
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Dynamics of transcendental functions /\ Xin-Hou Hua and Chung-Chun Yang.
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| Publication Statement
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Boca Raton, FL :: CRC Press,, [1998]
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| Series Statement
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Asian mathematics series ;; v. 1
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| Page. NO
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1 online resource
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| ISBN
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135145403X
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: 9781351454032
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9056991612
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9789056991616
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Cover; Half Title; Title Page; Copyright Page; Table of Contents; Introduction to the Series; Preface; 1: Preliminaries; 1.1 Some notations; 1.2 Normal families; 1.3 Conformal mappings; 1.4 The Poincaré metric; 1.5 Extremal lengths and prime ends; 1.6 Ramified coverings; 1.7 Quasiconformal mappings; 1.8 Nevanlinna's value distribution theory; 1.9 Covering surfaces; 1.10 Growth of composite functions; 1.11 Wiman-Valiron theory; 2: The Fixed Point Theory; 2.1 Classification of meromorphic functions; 2.2 Classification of fixed points; 2.3 Fixed points of iterated functions
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2.4 Fixed points of composite functions2.5 Conjugacy and the central problem; 2.6 Attracting and repelling fixed points; 2.7 Rationally indifferent fixed points; 2.8 Irrationally indifferent fixed points; 3: The Fatou and Julia Sets; 3.1 Definitions of the Fatou and Julia sets; 3.2 Completely invariant sets; 3.3 Some properties of the Julia set; 3.4 Baker's theorem; 3.5 Expansivity of the Julia set; 4: The Components of the Fatou Set; 4.1 Types of the components; 4.2 Multiply connected components; 4.3 Simply connected components; 4.4 Classification of periodic components
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| Abstract
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In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects.
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| Subject
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Fatou theorems.
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| Subject
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Fixed point theory.
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| Subject
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Transcendental functions.
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| Subject
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Fatou theorems.
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| Subject
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Fixed point theory.
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| Subject
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MATHEMATICS-- Calculus.
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| Subject
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MATHEMATICS-- Mathematical Analysis.
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| Subject
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Transcendental functions.
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| Dewey Classification
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515/.9
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| LC Classification
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QA353.T7H83 1998
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| Added Entry
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Yang, Chung-Chun,1942-
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