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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 12:07:49 (UTC+8)
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
meromorphic 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
dc.contributor.advisor 陳天進zh_TW
dc.contributor.advisor Chen,Ten-Gingen_US
dc.contributor.author (Authors) 鄭明芳zh_TW
dc.creator (作者) 鄭明芳zh_TW
dc.date (日期) 2007en_US
dc.date.accessioned 19-Sep-2009 12:07:49 (UTC+8)-
dc.date.available 19-Sep-2009 12:07:49 (UTC+8)-
dc.date.issued (上傳時間) 19-Sep-2009 12:07:49 (UTC+8)-
dc.identifier (Other Identifiers) G0094972004en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/37091-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 94972004zh_TW
dc.description (描述) 96zh_TW
dc.description.abstract (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。zh_TW
dc.description.abstract (摘要) In this thesis, we study the properties of two non-constant
meromorphic functions sharing three values, and the uniqueness theorems under various conditions.		en_US
dc.description.tableofcontents 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		zh_TW
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dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0094972004en_US
dc.subject (關鍵詞) 半純函數zh_TW
dc.subject (關鍵詞) 共值zh_TW
dc.subject (關鍵詞) meromorphic functionsen_US
dc.subject (關鍵詞) share valueen_US
dc.title (題名) 兩個半純函數之共值問題zh_TW
dc.title (題名) On the Sharing Value Problem of Two Meromorphic Functionsen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] F. Gross, Factorization of meromorphic functions, U. S. Government Printing Office, Washington, D. C., 1972.zh_TW
dc.relation.reference (參考文獻) [2] W. K. Hayman, Meromorphic functions, Oxford, 1964.zh_TW
dc.relation.reference (參考文獻) [3] G. Jank and N. Terglane, Meromorphic functions sharing three values, Math. Pannonica, 2(1990), 37-46.zh_TW
dc.relation.reference (參考文獻) [4] R. Nevanlinna, Zur Theorie der meromorphen Funktionem, Acta Math., 46(1925), 1-99.zh_TW
dc.relation.reference (參考文獻) [5] R. Nevanlinna, Le Thereme de Picard-Borel et la theorie des fonctions meromorphes. Paris, 1929.zh_TW
dc.relation.reference (參考文獻) [6] K. Niino and M. Ozawa, Deficiencies of an entire algebroidal function, Kodai Math. Sem. Rep., 22(1970), 98-113.zh_TW
dc.relation.reference (參考文獻) [7] C. F. Osgood and C. C. Yang, On the quotient of two integral functions, J. Math. Anal. Appl., 54(1976), 408-418.zh_TW
dc.relation.reference (參考文獻) [8] H. Ueda, Unicity theorem for entire functions, Kodai Math. J., 3(1980), 212-223.zh_TW
dc.relation.reference (參考文獻) [9] H. Ueda, Unicity theorems for meromorphic or entire functions II, Kodai Math. J., 6(1983), 26-36.zh_TW
dc.relation.reference (參考文獻) [10] H. X. Yi, Meromorphic functions that share three values, Chin. Ann. Math. (A), 9(1988), No.4, 434-439.zh_TW
dc.relation.reference (參考文獻) [11] H. X. Yi, Unicity theorems for meromorphic functions, J. Shandong Univ., 23(1988), No.1, 15-22.zh_TW
dc.relation.reference (參考文獻) [12] H. X. Yi, Meromorphic functions that share two or threezh_TW
dc.relation.reference (參考文獻) values, Kodai Math. J., 13(1990), No.3, 363-372.zh_TW
dc.relation.reference (參考文獻) [13] H. X. Yi and W. R. L, Unicity theorems for meromorphic functions, Proc. Japan Acad. Ser. A, 78(2002), No.7, 152-156.zh_TW
dc.relation.reference (參考文獻) [14] H. X. Yi and C. C. Yang, Uniqueness theory of meromorphic functions, Science Press, Beijing, 1995.zh_TW