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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/32596
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/32596


    Title: 半純函數與其導數共值問題
    Authors: 陳正賢
    Contributors: 陳天進
    陳正賢
    Keywords: 半純函數
    Date: 2007
    Issue Date: 2009-09-17 13:49:03 (UTC+8)
    Abstract: 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。
    Reference: [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.
    Description: 碩士
    國立政治大學
    應用數學研究所
    94972011
    96
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0094972011
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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