| 研究生: |
張靜華 Chang, Ching Hua |
|---|---|
| 論文名稱: |
探討半純函數指定兩個值之相關問題 On meromorphic functions with two prescribed values |
| 指導教授: |
陳天進
Chen, Ten Ging |
| 學位類別: |
碩士
Master |
| 系所名稱: |
理學院 - 應用數學系 Department of Mathematical Sciences |
| 論文出版年: | 2009 |
| 畢業學年度: | 98 |
| 語文別: | 英文 |
| 論文頁數: | 34 |
| 中文關鍵詞: | 半純函數 |
| 外文關鍵詞: | Prescribed Values |
| 相關次數: | 點閱:96 下載:48 |
| 分享至: |
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在這篇論文裡,我們探討半純函數指定兩個值之相關問題。特別地,我們探討純函數指定0-1集,同時,我們論證了有關離散型複數數列之一些有趣的結果,利用它們得到關於指定0-1集純函數存在性的必要條件。
In this thesis, we study meromorphic functions with two prescribed values. Especially, entire functions with prescribed zero-one sets. Also, we develop the growth criterion for discrete complex sequences and obtain some interesting results. Using the order of discrete sequences, we obtain a necessary condition for the existence of entire functions with prescribed zero-one set.
謝辭 i
Abstract ii
中文摘要 iii
Introduction 1
Meromorphic Functions with Prescribed Zero-Pole Sets 2
The Growth of Discrete Sequences 6
Basic Theory of Value Distribution 18
Entire Functions with Prescribed Zero-One Sets 25
References 34
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