【图书简介】 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。-读书网|DuShu.com
【本书目录】 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 Plficker'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 ……