Please use this identifier to cite or link to this item: 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

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