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https://ah.lib.nccu.edu.tw/handle/140.119/32596
題名: | 半純函數與其導數共值問題 | 作者: | 陳正賢 | 貢獻者: | 陳天進 陳正賢 |
關鍵詞: | 半純函數 | 日期: | 2007 | 上傳時間: | 17-九月-2009 | 摘要: | 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。 | 參考文獻: | [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. |
描述: | 碩士 國立政治大學 應用數學研究所 94972011 96 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0094972011 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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