政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/95256
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  全文筆數/總筆數 : 113303/144284 (79%)
造訪人次 : 50808564      線上人數 : 573
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
搜尋範圍 查詢小技巧：
  • 您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料
    •  進階搜尋
    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/95256


    請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/95256


    題名: 探討半純函數指定兩個值之相關問題
    On meromorphic functions with two prescribed values
    作者: 張靜華
    Chang, Ching Hua
    貢獻者: 陳天進
    Chen, Ten Ging
    張靜華
    Chang, Ching Hua
    關鍵詞: 半純函數
    Prescribed Values
    日期: 2009
    上傳時間: 2016-05-09 15:25:42 (UTC+8)
    摘要: 在這篇論文裡，我們探討半純函數指定兩個值之相關問題。特別地，我們探討純函數指定0-1集，同時，我們論證了有關離散型複數數列之一些有趣的結果，利用它們得到關於指定0-1集純函數存在性的必要條件。
    In this thesis, we study meromorphic functions with two prescribed values. Especially, entire functions with prescribed zero-one sets. Also, we develop the growth criterion for discrete complex sequences and obtain some interesting results. Using the order of discrete sequences, we obtain a necessary condition for the existence of entire functions with prescribed zero-one set.
    謝辭 i
    Abstract ii
    中文摘要 iii
    Introduction 1
    Meromorphic Functions with Prescribed Zero-Pole Sets 2
    The Growth of Discrete Sequences 6
    Basic Theory of Value Distribution 18
    Entire Functions with Prescribed Zero-One Sets 25
    References 34
    參考文獻: [1] L. V. Ahlfors, Complex analysis, Third edition,McGraw-Hill, 1979.
    [2] J. B. Conway, Functions of one complex variable, Second
    edition, Springer-Verlag, 1973.
    [3] F. Gross, Factorization of meromorphic functions, U. S.
    Government Printing Office, Washington, D. C. , 1972.
    [4] W. K. Hayman, Meromorphic functions, Clarendon Press,
    Oxford, 1964.
    [5] R. Nevanlinna, Le theoreme de Picard-Borel et la theorie des fonctions meromorphes, Gauthiers-Villars,
    Paris, 1929.
    [6] M. Ozawa, On the zero-one set of an entire function, Kodai Math. J. , 2 (1979), 194--199.
    [7] L. A. Rubel and C. C. Yang, Interpolation and unavoidable families of meromorphic functions, Mich. Math. J. , 20 (1973), 289--296.
    [8] L. Yang, Value distribution theory, Berlin Heidelberg:
    Springer-Verlag, Beijing:Science Press, 1993.
    [9] C. C. Yang and C. T. Chuang, Fixed points and factorization theory of meromorphic functions, Peking Univ. Press, 1988.
    [10] C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, 2003.
    [11] H. X. Yi, Some theorems on systems of meromorphic
    functions, J. Shandong Univ. , 32 (1997), No.3, 241--247.
    描述: 碩士
    國立政治大學
    應用數學系
    96972001
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0096972001
    資料類型: thesis
    顯示於類別:[應用數學系] 學位論文

    文件中的檔案:

    檔案 大小格式瀏覽次數
    index.html0KbHTML2269檢視/開啟


    在政大典藏中所有的資料項目都受到原著作權保護.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - 回饋