亚纯函数的微分多项式PDF电子书下载

Preface 1

Chapter Ⅰ．Inversion of a System of Linear Differen-tial Polynomials 1

1．Inversion Formulas 1

2．An Application of Theorem 1.1 4

3．A Particular Case of Theorem 1.1 10

4．Some Applications of an Inversion Formula 12

Chapter Ⅱ．Generalizations of Nevanlinna's Second Fundamental Theorem on MeromorphicFunctions1．Generalizations to the Case of Small Functions 25

2．Generalizations Involving Differential Polynomials 41

Chapter Ⅲ．Deficiencies and Differential Polynomials of Meromorphic Functions 61

1．The set E（f，P（f）） 61

2．Basic Inequalities 67

3．Application to Value Distribution of Meromorphic Functions Satisfying a Differential Equation 79

Chapter Ⅳ．Theorem of Wiman-Valiron 87

1．The Main Theorem 87

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

3．Applications of Theorem 4.1 in the Case R=1 113

4．Some Complements of Theorem 4.1 118

ChapterⅤ．Growth of Meromorphic Solutions of Al-gebraic Differential Equation 127

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=1 155

3．Applications of a Theorem of Borel 163

Chapter Ⅵ．Borel Directions of Meromorphic Func-tions of Infinite Order 177

1．A General Theorem 177

2．Applications of Theorem 6.1 182