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亚纯函数的微分多项式PDF|Epub|txt|kindle电子书版本网盘下载
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- Chuang Chitai 著
- 出版社: 北京:北京师范大学出版社
- ISBN:730305197X
- 出版时间:1999
- 标注页数:202页
- 文件大小:4MB
- 文件页数:211页
- 主题词:
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图书目录
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