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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/52850
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dc.contributor.advisor陳天進zh_TW
dc.contributor.advisorChen, Ten Gingen_US
dc.contributor.author陳盈穎zh_TW
dc.contributor.authorChen, Ying Yingen_US
dc.creator陳盈穎zh_TW
dc.creatorChen, Ying Yingen_US
dc.date2011en_US
dc.date.accessioned2012-04-17T02:27:45Z-
dc.date.available2012-04-17T02:27:45Z-
dc.date.issued2012-04-17T02:27:45Z-
dc.identifierG0987510031en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/52850-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description98751003zh_TW
dc.description100zh_TW
dc.description.abstract在這篇論文裡，我們探討 $\\mathcal{A}$ 類半純函數的值分佈基本理論。我們證明了每一個 $\\mathcal{A}$ 類半純函數最多有兩個重值，而這個結果是最佳的情形。進而，我們證明若一個 $\\mathcal{A}$ 類半純函數 $f$ 與其導數 $f^{(k)}$ 共非零的複數值，則 $f\\equiv f^{(k)}$。zh_TW
dc.description.abstractIn this thesis, we study the basic theory of value distribution of meromorphic function of class $\\mathcal{A}$. We prove that every meromorphic function of class $\\mathcal{A}$ has at most two multiple values and the result is sharp. Also, we prove that if a meromorphic function $f$ of class $\\mathcal{A}$ and its derivative $f^{(k)}$ share a non-zero complex value, then $f\\equiv f^{(k)}$.en_US
dc.description.tableofcontents謝辭­ .......................... i\nAbstract ­ .......................... iii\n中文摘要 ­ .......................... iv\nContent ­ .......................... v\n1 Introduction ­ .......................... 1\n2 Basic Theory of Value Distribution ­ .......................... 3\n3 Meromorphic Functions of Class A ­ .......................... 13\n4 Multiple Values of Meromorphic Functions of Class A ­ .......................... 21\n5 The Unicity of Meromorphic Functions of Class A ­ .......................... 24\nReferences ­ .......................... 27zh_TW
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0987510031en_US
dc.subject值分佈理論zh_TW
dc.subject半純函數zh_TW
dc.subjectA類半純函數zh_TW
dc.subjectValue Distribution Theoryen_US
dc.subjectMeromorphic Functionen_US
dc.subjectMeromorphic Function of Class Aen_US
dc.titleA 類半純函數之某些值分佈zh_TW
dc.titleSome value distribution of Meromorphic functions of Class Aen_US
dc.typethesisen
dc.relation.reference[1] C.-T. Chuang and C.-C. Yang, Fix-points and factorization of meromorphic functions, World Scienti c Publishing Co. Inc., Teaneck, NJ, 1990. Translated from the Chinese.zh_TW
dc.relation.reference[2] G. Frank and G. Wei enborn, Meromorphe Funktionen, die mit einer ihrer Ableitungen Werte teilen, Complex Variables Theory Appl., 7 (1986), pp. 33{43.zh_TW
dc.relation.reference[3] F. Gross, Factorization of meromorphic functions, Mathematics Research Center, Naval Research Laboratory, Washington, D. C., 1972.zh_TW
dc.relation.reference[4] G. G. Gundersen, Meromorphic functions that share three or four values, J. London Math. Soc. (2), 20 (1979), pp. 457{466.zh_TW
dc.relation.reference[5] , Meromorphic functions that share four values, Trans. Amer. Math. Soc., 277 (1983), pp. 545{567.zh_TW
dc.relation.reference[6] W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964.zh_TW
dc.relation.reference[7] H. Milloux, Les fonctions m eromorphes et leurs d eriv ees. Extensions d`un th eor eme de M. R. Nevanlinna. Applications, Actualit es Sci. Ind., no. 888, Hermann et Cie., Paris, 1940.zh_TW
dc.relation.reference[8] R. Nevanlinna, Le th eor eme de Picard-Borel et la th eorie des fonctions m eromorphes, Chelsea Publishing Co., New York, 1974. Reprinting of the 1929 original.zh_TW
dc.relation.reference[9] C.-C. Yang and H.-X. Yi, Uniqueness theory of meromorphic functions, vol. 557 of Mathematics and its Applications, Kluwer Academic Publishers Group, Dordrecht, 2003.zh_TW
dc.relation.reference[10] L. Yang, Value distribution theory, Springer-Verlag, Berlin, 1993. Translated and revised from the 1982 Chinese original.zh_TW
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