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題名 半純函數與其導數共值問題
作者 陳正賢
貢獻者 陳天進
陳正賢
關鍵詞 半純函數
日期 2007
上傳時間 17-Sep-2009 13:49:03 (UTC+8)
摘要 在這篇論文裡，我們利用值分佈的理論來探討半純函數的值分佈，以及半純函數與其導數的共值問題。
參考文獻 [1]G. Frank and W. Ohlenroth, Meromorphe Funktionen, die mit einer ihrer Ableitungen Werte teilen, Complex Variables, 6(1986), 23-37.
[2]G. Frank and G. Weissenborn, Meromorphe Funktionen, die mit einer ihrer Ableitungen Werte teilen, Complex Variables, 7(1986), 33-43.
[3]G. Frank and G. Weissenborn, Rational deficient functions of meromorphic functions, Bull. London Math. Soc., 18(1986), 29-33.
[4]F. Gross, Factorization of meromorphic functions, U. S. Government Printing Office,Washington, D. C., 1972.
[5]G. G. Gundersen, Meromorphic functions that share two finite values with their derivatives, Pacific J. Math., 105(1983), 299-309.
[6]W. K. Hayman, Meromorphic functions, Oxford, 1964.
[7]G. Jank and L. Volkmann, Einfuhrung in die Theorie der ganzen und meromorpfen Functionen mit Anwendungen auf Differentialgleichungen,Birkhauser Verlag, Basel-Boston-Stuttgart, 1985.
[8]E. Mues and N. Steinmetz, Meromorphe funktionen, die mit ihrer ableitung werte teilen, Manuscripta Math., 29(1979),195-206.
[9]K. Niino and M. Ozawa, Deficiencies of an entire algebroidal function, Kodai Math. Sem. Rep., 22(1970), 98-113.
[10]L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, in ""Complex analysis, Kentucky, 1976``, Lecture Notes in Math., Vol. 599,
Springer, 1977, 101-103.
[11]C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, New York, 2003, 384-425.
[12]L. Z. Yang, Entire functions that share finite values with their derivatives, Bull. Austral. Math. Soc., 41(1990), 337-342.
描述 碩士
國立政治大學
應用數學研究所
94972011
96
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0094972011
資料類型 thesis
dc.contributor.advisor 陳天進zh_TW
dc.contributor.author (Authors) 陳正賢zh_TW
dc.creator (作者) 陳正賢zh_TW
dc.date (日期) 2007en_US
dc.date.accessioned 17-Sep-2009 13:49:03 (UTC+8)-
dc.date.available 17-Sep-2009 13:49:03 (UTC+8)-
dc.date.issued (上傳時間) 17-Sep-2009 13:49:03 (UTC+8)-
dc.identifier (Other Identifiers) G0094972011en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/32596-
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) 94972011zh_TW
dc.description (描述) 96zh_TW
dc.description.abstract (摘要) 在這篇論文裡，我們利用值分佈的理論來探討半純函數的值分佈，以及半純函數與其導數的共值問題。zh_TW
dc.description.tableofcontents 謝辭 i
Abstract ii
中文摘要 iii
1 Introduction 1
2 Some Definitions and Theorems 2
3 Entire Functions Sharing Values with Their Derivatives 8
4 Meromorphic Functions Sharing Values with Their Derivatives 18
References 39		zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0094972011en_US
dc.subject (關鍵詞) 半純函數zh_TW
dc.title (題名) 半純函數與其導數共值問題zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1]G. Frank and W. Ohlenroth, Meromorphe Funktionen, die mit einer ihrer Ableitungen Werte teilen, Complex Variables, 6(1986), 23-37.zh_TW
dc.relation.reference (參考文獻) [2]G. Frank and G. Weissenborn, Meromorphe Funktionen, die mit einer ihrer Ableitungen Werte teilen, Complex Variables, 7(1986), 33-43.zh_TW
dc.relation.reference (參考文獻) [3]G. Frank and G. Weissenborn, Rational deficient functions of meromorphic functions, Bull. London Math. Soc., 18(1986), 29-33.zh_TW
dc.relation.reference (參考文獻) [4]F. Gross, Factorization of meromorphic functions, U. S. Government Printing Office,Washington, D. C., 1972.zh_TW
dc.relation.reference (參考文獻) [5]G. G. Gundersen, Meromorphic functions that share two finite values with their derivatives, Pacific J. Math., 105(1983), 299-309.zh_TW
dc.relation.reference (參考文獻) [6]W. K. Hayman, Meromorphic functions, Oxford, 1964.zh_TW
dc.relation.reference (參考文獻) [7]G. Jank and L. Volkmann, Einfuhrung in die Theorie der ganzen und meromorpfen Functionen mit Anwendungen auf Differentialgleichungen,Birkhauser Verlag, Basel-Boston-Stuttgart, 1985.zh_TW
dc.relation.reference (參考文獻) [8]E. Mues and N. Steinmetz, Meromorphe funktionen, die mit ihrer ableitung werte teilen, Manuscripta Math., 29(1979),195-206.zh_TW
dc.relation.reference (參考文獻) [9]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) [10]L. A. Rubel and C. C. Yang, Values shared by an entire function and its derivative, in ""Complex analysis, Kentucky, 1976``, Lecture Notes in Math., Vol. 599,zh_TW
dc.relation.reference (參考文獻) Springer, 1977, 101-103.zh_TW
dc.relation.reference (參考文獻) [11]C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, New York, 2003, 384-425.zh_TW
dc.relation.reference (參考文獻) [12]L. Z. Yang, Entire functions that share finite values with their derivatives, Bull. Austral. Math. Soc., 41(1990), 337-342.zh_TW