Dr. Jianhua Zheng is a Professor at the Department of Mathematical Sciences, Tsinghua University, China.
目录
1 Preliminaries of Real Functions 1.1 Functions of a Real Variable 1.1.1 The Order and Lower Order of a Real Function 1.1.2 The P61ya Peak Sequence of a Real Function 1.1.3 The Regularity of a Real Function 1.1.4 Quasi-invariance of Inequalities 1.2 Integral Formula and Integral Inequalities 1.2.1 The Green Formula for Functions with Two Real Variables 1.2.2 Several Integral Inequalities References 2 Characteristics of a Meromorphic Function 2.1 Nevanlinna's Characteristic in a Domain 2.2 Nevanlinna's Characteristic in an Angle 2.3 Tsuji's Characteristic 2.4 Ahlfors-Shimizu's Characteristic 2.5 Estimates of the Error Terms 2.6 Characteristic of Derivative of a Meromorphic Function 2.7 Meromorphic Functions in an Angular Domain 2.8 Deficiency and Deficient Values 2.9 Uniqueness of Meromorphic Functions Related to Some Angular Domains .References 3 T Directions of a Meromorphic Function 3.1 Notation and Existence of T Directions 3.2 T Directions Dealing with Small Functions 3.3 Connection Among T Directions and Other Directions 3.4 Singular Directions Dealing with Derivatives 3.5 The Common T Directions of a Meromorphic Function and Its Derivatives 3.6 Distribution of the Julia, Borel Directions and T Directions 3.7 Singular Directions of Meromorphic Solutions of Some Equations 3.8 Value Distribution of Algebroid Functions References 4 Argument Distribution and Deficient Values 4.1 Deficient Values and T Directions 4.2 Retrospection References 5 Meromorphic Functions with Radially Distributed Values 5.1 Growth of Such Meromorphic Functions 5.2 Growth of Such Meromorphic Functions with Finite Lower Order 5.3 Retrospection References 6 Singular Values of Meromorphic Functions 6.1 Riemann Surfaces and Singularities 6.2 Density of Singularities 6.3 Meromorphic Functions of Bounded Type References 7 The Potential Theory in Value Distribution 7.1 Signed Measure and Distributions 7.2 8-Subharmonic Functions 7.2.1 Basic Results Concerning 8-Subharmonic Functions 7.2.2 Normality of Family of 8-Subharmonic Functions 7.2.3 The Nevanlinna Theory of 8-Subharmonic Functions 7.3 Eremenko's Proof of the Nevanlinna Conjecture References Index
