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研究生: 張靜華
Chang, Ching Hua
論文名稱: 探討半純函數指定兩個值之相關問題
On meromorphic functions with two prescribed values
指導教授: 陳天進
Chen, Ten Ging
學位類別: 碩士
Master
系所名稱: 理學院 - 應用數學系
Department of Mathematical Sciences
論文出版年: 2009
畢業學年度: 98
語文別: 英文
論文頁數: 34
中文關鍵詞: 半純函數
外文關鍵詞: Prescribed Values
相關次數: 點閱:96下載:48
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  • 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

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    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.

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