| dc.contributor.advisor | 陳天進 | zh_TW |
| dc.contributor.author (Authors) | 郭玲伶 | zh_TW |
| dc.creator (作者) | 郭玲伶 | zh_TW |
| dc.date (日期) | 2008 | en_US |
| dc.date.accessioned | 8-Dec-2010 11:46:52 (UTC+8) | - |
| dc.date.available | 8-Dec-2010 11:46:52 (UTC+8) | - |
| dc.date.issued (上傳時間) | 8-Dec-2010 11:46:52 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0095751003 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/49453 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 95751003 | zh_TW |
| dc.description (描述) | 97 | zh_TW |
| dc.description.abstract (摘要) | 在這篇論文裡，我們利用值分佈理論來探討兩個半純函數何時會相等，進而了解兩個半純函數滿足某一函數方程時，其關係為何。最後，我們探討兩個半純函數共四個少函數且擁有少量的極點之相關性質。 | zh_TW |
| dc.description.abstract (摘要) | In this thesis, we use the theory of value distribution to study the uniqueness problems of two meromorphic functions and the relation of two meromorphic functions satisfying some functional equations. Also we prove some uniqueness results on two meromorphic functions with few poles sharing four small functions. | en_US |
| dc.description.tableofcontents | 謝辭 iAbstract ii中文摘要 iiiIntroduction 1Basic Theory of Value Distribution 2Rational Functions Sharing Values 13Meromorphic Functions satisfying some Functional Equations 14Meromorphic Functions with Few Poles 27References 44 | zh_TW |
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| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0095751003 | en_US |
| dc.subject (關鍵詞) | 半純函數 | zh_TW |
| dc.subject (關鍵詞) | 唯一性 | zh_TW |
| dc.subject (關鍵詞) | 少函數 | zh_TW |
| dc.subject (關鍵詞) | meromorphic functions | en_US |
| dc.subject (關鍵詞) | uniqueness | en_US |
| dc.subject (關鍵詞) | small function | en_US |
| dc.title (題名) | 半純函數共慢成長函數之唯一性 | zh_TW |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [1] R. Nevanlinna, Le th´eor"eme de Picard-Borel et la th´eorie des fonctions m´eromorphes, Gauthiers-Villars, Paris, 1929. | zh_TW |
| dc.relation.reference (參考文獻) | [2] H. Milloux, Les fonctions m´eromorphes et leurs d´eriv´ees, Paris, 1940. | zh_TW |
| dc.relation.reference (參考文獻) | [3] G. G. Gundersen, Meromorphic functions that share three or four values, J. London Math. Soc., 20 (1979), 457–466. | zh_TW |
| dc.relation.reference (參考文獻) | [4] G. G. Gundersen, Meromorphic functions that share four values, Transactions of the American Mathematical Society, 277(2) (1983), 545–567. | zh_TW |
| dc.relation.reference (參考文獻) | [5] C. C. Yang and H. X. Yi, Uniqueness Theorem of Meromorphic Functions, Kluwer Academic Publishers, 2003. | zh_TW |
| dc.relation.reference (參考文獻) | [6] Q. D. Zhang, A uniqueness theorem for meromorphic functions with respect to solwly growing functions (Chinese), Acta Math. Sinica, 36 (1993), 826–833. | zh_TW |
| dc.relation.reference (參考文獻) | [7] Y. H. Li and J. Y. Qiao, On the uniqueness of meromorphic functions concerning small functions (Chinese), Preprint 1998. | zh_TW |
| dc.relation.reference (參考文獻) | [8] K. Ishizaki, Meromorphic functions sharing small functions, Acta Math. 77 (2001), 273–277. | zh_TW |
| dc.relation.reference (參考文獻) | [9] K. Ishizaki, Uniqueness problems on meromorphic functions that share four small functions, Proceedings of Second ISAAC Congress, Kluwer (2000), 467–472. | zh_TW |
| dc.relation.reference (參考文獻) | [10] P. Li, Meromorphic functions that share four small functions, J. Math. Anal. Appl, 263 (2001), 316–326. | zh_TW |
| dc.relation.reference (參考文獻) | [11] K. Ishizaki and N. Toda, Unicuty theorem for meromorphic functions with a few poles sharing four small meromorphic functions, Kodai Math. J. 21 (1998), 350–371. | zh_TW |
| dc.relation.reference (參考文獻) | [12] C. T. Chuang and C. C. Yang, Fixed points and factorization theory of meromorphic functions, Peking Univ. Press, 1988. | zh_TW |
| dc.relation.reference (參考文獻) | [13] F. Gross, Factorizatioin of meromorphic functions, U. S. Government Printing Office, Washington, D. C.,1972. | zh_TW |
| dc.relation.reference (參考文獻) | [14] W. K. Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964. | zh_TW |
| dc.relation.reference (參考文獻) | [15] C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, Pure and Applied Math. Monographs No. 32, Science Press, Beijing, 1995. | zh_TW |
| dc.relation.reference (參考文獻) | [16] L. Yang, Value distribution theory, Berlin Heidelberg: Springer-Verlag, Beijing: Science Press, 1993. | zh_TW |
