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| 研究生： |
郭玲伶 |
|---|---|
| 論文名稱： |
半純函數共慢成長函數之唯一性 |
| 指導教授： | 陳天進 |
| 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： | 97 |
| 語文別： | 英文 |
| 論文頁數： | 50 |
| 中文關鍵詞： | 半純函數 、唯一性 、少函數 |
| 外文關鍵詞： | meromorphic functions, uniqueness, small function |
| 相關次數： | 點閱：140 下載：83 |
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在這篇論文裡，我們利用值分佈理論來探討兩個半純函數何時會相等，進而了解兩個半純函數滿足某一函數方程時，其關係為何。最後，我們探討兩個半純函數共四個少函數且擁有少量的極點之相關性質。
In this thesis, we use the theory of value distribution to study the uniqueness problems of two meromorphic functions and the relation of two meromorphic functions satisfying some functional equations. Also we prove some uniqueness results on two meromorphic functions with few poles sharing four small functions.
謝辭 i
Abstract ii
中文摘要 iii
Introduction 1
Basic Theory of Value Distribution 2
Rational Functions Sharing Values 13
Meromorphic Functions satisfying some Functional Equations 14
Meromorphic Functions with Few Poles 27
References 44
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