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https://ah.lib.nccu.edu.tw/handle/140.119/37091
題名: | 兩個半純函數之共值問題 On the Sharing Value Problem of Two Meromorphic Functions |
作者: | 鄭明芳 | 貢獻者: | 陳天進 Chen,Ten-Ging 鄭明芳 |
關鍵詞: | 半純函數 共值 meromorphic functions share value |
日期: | 2007 | 上傳時間: | 19-Sep-2009 | 摘要: | 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\nmeromorphic functions sharing three values, and the uniqueness theorems under various conditions. |
參考文獻: | [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. |
描述: | 碩士 國立政治大學 應用數學研究所 94972004 96 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0094972004 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
Files in This Item:
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200401.pdf | 49.67 kB | Adobe PDF2 | View/Open | |
200402.pdf | 159.18 kB | Adobe PDF2 | View/Open | |
200403.pdf | 224.45 kB | Adobe PDF2 | View/Open | |
200404.pdf | 232.78 kB | Adobe PDF2 | View/Open | |
200405.pdf | 217.11 kB | Adobe PDF2 | View/Open | |
200406.pdf | 64.76 kB | Adobe PDF2 | View/Open |
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