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    题名: 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
    贡献者: 陳天進
    Chen, Ten Ging
    張靜華
    Chang, Ching Hua
    关键词: 半純函數
    Prescribed Values
    日期: 2009
    上传时间: 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
    数据类型: thesis
    显示于类别:[應用數學系] 學位論文

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