基本信息
- 原书名：Some Topics on Value Distribution and Differentiability in Complex and P-adic Analysis
- 作者： A.Escassut W.Tutschke C.C.Yang
- 出版社：科学出版社
- ISBN：9787030204066
- 上架时间：2014-6-25
- 出版日期：2008 年4月
- 开本：16开
- 页码：631
- 版次：1-1
- 所属分类：教育
内容简介
The recent advancements，new results and applications of complex analysis and p-adic analysis are rather extensive．In this book，the focus centers on those topics which pertain to two intrinsic properties of analytic functions：value distribution and complex differentiability．Complex analysis and p-adic analysis are two closely linked，old branches of mathematics that have played a prominent role in the development of modem mathematics．
目录
Preface
List of Contributors
Part Ⅰ Value Distribution of Complex and P-adic Functions
Chapter 1 The Second Main Theorem on Generalized Parabolic Manifolds
1.1 Monge-Ampere equations and generalized parabolic manifolds
1.2 Projectivized bundles over Stein manifolds
1.3 Meromorphic global forms
1.4 Analytic and algebraic Pliicker Formulas: The classical case
1.5 Plucker's formulas for generalized parabolic manifolds
1.6 An analogue of the Ahlfors-Stoll estimate
1.7 The second main theorem
Chapter 2 P-adic Value Distribution
2.1 Ultrametric analytic functions
2.2 Lazard's problem and p-adic Nevanlinna theory
2.3 Applications of the Nevanlinna theory
Chapter 3 Survey on Meromorphic Functions of Uniqueness
3.1 Introduction and basic results
3.2 Main results and examples
Chapter 4 A Survey on Uniqueness Polynomials and Unique Range Sets
4.1 Meromorphic functions sharing points
List of Contributors
Part Ⅰ Value Distribution of Complex and P-adic Functions
Chapter 1 The Second Main Theorem on Generalized Parabolic Manifolds
1.1 Monge-Ampere equations and generalized parabolic manifolds
1.2 Projectivized bundles over Stein manifolds
1.3 Meromorphic global forms
1.4 Analytic and algebraic Pliicker Formulas: The classical case
1.5 Plucker's formulas for generalized parabolic manifolds
1.6 An analogue of the Ahlfors-Stoll estimate
1.7 The second main theorem
Chapter 2 P-adic Value Distribution
2.1 Ultrametric analytic functions
2.2 Lazard's problem and p-adic Nevanlinna theory
2.3 Applications of the Nevanlinna theory
Chapter 3 Survey on Meromorphic Functions of Uniqueness
3.1 Introduction and basic results
3.2 Main results and examples
Chapter 4 A Survey on Uniqueness Polynomials and Unique Range Sets
4.1 Meromorphic functions sharing points
