《亚纯函数的微分多项式》求取 ⇩

Preface1

Chapter Ⅰ．Inversion of a System of Linear Differen-tial Polynomials1

1．Inversion Formulas1

2．An Application of Theorem 1.14

3．A Particular Case of Theorem 1.110

4．Some Applications of an Inversion Formula12

Chapter Ⅱ．Generalizations of Nevanlinna's Second Fundamental Theorem on MeromorphicFunctions1．Generalizations to the Case of Small Functions25

2．Generalizations Involving Differential Polynomials41

Chapter Ⅲ．Deficiencies and Differential Polynomials of Meromorphic Functions61

1．The set E（f，P（f））61

2．Basic Inequalities67

3．Application to Value Distribution of Meromorphic Functions Satisfying a Differential Equation79

Chapter Ⅳ．Theorem of Wiman-Valiron87

1．The Main Theorem87

2．Applications of Theorem 4.1 in the Case R=+∞99

3．Applications of Theorem 4.1 in the Case R=1113

4．Some Complements of Theorem 4.1118

ChapterⅤ．Growth of Meromorphic Solutions of Al-gebraic Differential Equation127

1．Applications of Theorems 4.2 and 4.3 in the Case R=+∞127

2．Applications of Theorems 4.2 and 4.3 in the Case R=1155

3．Applications of a Theorem of Borel163

Chapter Ⅵ．Borel Directions of Meromorphic Func-tions of Infinite Order177

1．A General Theorem177

2．Applications of Theorem 6.1182