簡易檢索 / 詳目顯示
| 研究生： |
鄭明芳 |
|---|---|
| 論文名稱： |
兩個半純函數之共值問題 On the Sharing Value Problem of Two Meromorphic Functions |
| 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： | 2007 |
| 畢業學年度： | 96 |
| 語文別： | 英文 |
| 論文頁數： | 38 |
| 中文關鍵詞： | 半純函數 、共值 |
| 外文關鍵詞： | meromorphic functions, share value |
| 相關次數： | 點閱：105 下載：20 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
在這篇論文裡，我們主要在利用值分佈理論來探討兩個半純函數共三個值的基本性質以及在不同條件下的唯一性。
In this thesis, we study the properties of two non-constant
meromorphic functions sharing three values, and the uniqueness theorems under various conditions.
謝辭 i
Abstract iii
中文摘要 iv
1.Introduction 1
2.Basic Theory of Value Distribution 2
3.Functions Sharing Three Common Values 6
4.Multiplicities and Uniqueness 14
5.Deficient Values and Uniqueness 18
References 37
[1] F. Gross, Factorization of meromorphic functions, U. S. Government Printing Office, Washington, D. C., 1972.
[2] W. K. Hayman, Meromorphic functions, Oxford, 1964.
[3] G. Jank and N. Terglane, Meromorphic functions sharing three values, Math. Pannonica, 2(1990), 37-46.
[4] R. Nevanlinna, Zur Theorie der meromorphen Funktionem, Acta Math., 46(1925), 1-99.
[5] R. Nevanlinna, Le Thereme de Picard-Borel et la theorie des fonctions meromorphes. Paris, 1929.
[6] K. Niino and M. Ozawa, Deficiencies of an entire algebroidal function, Kodai Math. Sem. Rep., 22(1970), 98-113.
[7] C. F. Osgood and C. C. Yang, On the quotient of two integral functions, J. Math. Anal. Appl., 54(1976), 408-418.
[8] H. Ueda, Unicity theorem for entire functions, Kodai Math. J., 3(1980), 212-223.
[9] H. Ueda, Unicity theorems for meromorphic or entire functions II, Kodai Math. J., 6(1983), 26-36.
[10] H. X. Yi, Meromorphic functions that share three values, Chin. Ann. Math. (A), 9(1988), No.4, 434-439.
[11] H. X. Yi, Unicity theorems for meromorphic functions, J. Shandong Univ., 23(1988), No.1, 15-22.
[12] H. X. Yi, Meromorphic functions that share two or three
values, Kodai Math. J., 13(1990), No.3, 363-372.
[13] H. X. Yi and W. R. L, Unicity theorems for meromorphic functions, Proc. Japan Acad. Ser. A, 78(2002), No.7, 152-156.
[14] H. X. Yi and C. C. Yang, Uniqueness theory of meromorphic functions, Science Press, Beijing, 1995.