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    题名: 有理函數之分解
    The Factorization of Rational Functions
    作者: 梁順豪
    Liang ,Shun-Hao
    贡献者: 陳天進
    梁順豪
    Liang ,Shun-Hao
    关键词: 有理函數
    分解
    rational function
    factorization
    日期: 2003
    上传时间: 2009-09-17 13:45:51 (UTC+8)
    摘要: 在這篇論文裡，我們主要有兩部分。首先，我們給了一類新的素有理函數，接下來，我們整理了一個有理函數分解的反例，並討論了Weierstrass p-函數的素性。
    In this thesis, our primary objective here is two parts. First, we give a new class of prime rational functions. Next, we study an example in the factorization of the rational functions and the primeness of the Weierstrass p-function.
    參考文獻: 1. Chi-Tai Chuang and Chung-Chun Yang, Fix-Points and
    Factorization of Meromorphic Functions, World Scientific,
    singapore. (1990).
    2. F. Gross, Factorization of Meromorphic Functions, U.S.
    Government Printing Office, Washington, D.C. (1972).
    3. F. Gross, Factorization of Meromorphic Functions and Some
    Open Problems, Lecture Notes in Math, vol. 599 (1977).
    4. J.F. Ritt, Prime and composite polynomials, Trans. Amer. Math. Soc. 23, 51-66 (1922).
    5. Robert E. Greene and Steven G. Krantz, Function Theory of
    One Complex Variable, John Wiley and Sons, New York. (1997).
    6. Serge Lang, Complex Analysis, 2nd ed, Springer-Verlag,
    New York. (1985).
    7. Serge Lang, Elliptic Function, 2nd ed, Springer-Verlag,
    New York. (1987)
    8. Yang Lo, Value Distribution, Springer-Verlag
    Berlin Heidelberg and Science Press, Beijing. (1993).
    9. Walter Bergweiler, An Example Concerning Iteration and
    Factorization of Rational Functions, Exposition. Math, 11,
    281-283 (1993).
    10. W. K. Hayman, Meromorphic Functions, Oxford Mathematical
    Monographs, Oxford, 1964.
    11. W. K. Hayman and Joseph Miles, On the Growth of a Meromorphic Function and Its Derivatives, Complex Variables, 12, 245-260 (1989).
    12. W. K. Nicholson, Introduction to Abstract Algebra, John
    Wiley and Sons, New York, 1999.
    13. 沈璿, 橢圓函數概論, 國立編譯館 (1982)
    14. 洪焌維, 純函數與半純函數之分解, 政治大學應用數學系碩士論文. (2003)
    15. 楊重駿,宋國棟, 複變函數分解論, 凡異出版社.
    描述: 碩士
    國立政治大學
    應用數學研究所
    91751004
    92
    資料來源: http://thesis.lib.nccu.edu.tw/record/#G0091751004
    数据类型: thesis
    显示于类别:[應用數學系] 學位論文

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