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亚纯函数值分布理论 英文版2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

亚纯函数值分布理论 英文版
  • 郑建华著 著
  • 出版社： 北京：清华大学出版社
  • ISBN：9787302223290
  • 出版时间：2010
  • 标注页数：308页
  • 文件大小：10MB
  • 文件页数：318页
  • 主题词：半纯函数－值分布论－英文

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图书目录

1 Preliminaries of Real Functions1

1.1 Functions of a Real Variable1

1.1.1 The Order and Lower Order of a Real Function1

1.1.2 The Pólya Peak Sequence of a Real Function4

1.1.3 The Regularity of a Real Function8

1.1.4 Quasi-invariance of Inequalities14

1.2 Integral Formula and Integral Inequalities19

1.2.1 The Green Formula for Functions with Two Real Variables19

1.2.2 Several Integral Inequalities20

References23

2 Characteristics of a Meromorphic Function25

2.1 Nevanlinna's Characteristic in a Domain26

2.2 Nevanlinna's Characteristic in an Angle47

2.3 Tsuji's Characteristic58

2.4 Ahlfors-Shimizu's Characteristic66

2.5 Estimates of the Error Terms77

2.6 Characteristic of Derivative of a Meromorphic Function86

2.7 Meromorphic Functions in an Angular Domain93

2.8 Deficiency and Deficient Values103

2.9 Uniqueness of Meromorphic Functions Related to Some Angular Domains110

References120

3 T Directions of a Meromorphic Function123

3.1 Notation and Existence of T Directions124

3.2 T Directions Dealing with Small Functions130

3.3 Connection Among T Directions and Other Directions134

3.4 Singular Directions Dealing with Derivatives146

3.5 The Common T Directions of a Meromorphic Function and Its Derivatives151

3.6 Distribution of the Julia,Borel Directions and T Directions163

3.7 Singular Directions of Meromorphic Solutions of Some Equations166

3.8 Value Distribution of Algebroid Functions178

References181

4 Argument Distribution and Deficient Values185

4.1 Deficient Values and T Directions186

4.2 Retrospection202

References205

5 Meromorphic Functions with Radially Distributed Values207

5.1 Growth of Such Meromorphic Functions208

5.2 Growth of Such Meromorphic Functions with Finite Lower Order215

5.3 Retrospection222

References228

6 Singular Values of Meromorphic Functions229

6.1 Riemann Surfaces and Singularities230

6.2 Density of Singularities241

6.3 Meromorphic Functions of Bounded Type252

References265

7 The Potential Theory in Value Distribution267

7.1 Signed Measure and Distributions268

7.2 δ-Subharmonic Functions270

7.2.1 Basic Results Concerning δ-Subharrnonic Functions271

7.2.2 Normality of Family of δ-Subharmonic Functions275

7.2.3 The Nevanlinna Theory of δ-Subharmonic Functions285

7.3 Eremenko's Proof of the Nevanlinna Conjecture292

References305

Index307

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