Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/95256| 題名: | 探討半純函數指定兩個值之相關問題 On meromorphic functions with two prescribed values |
作者: | 張靜華 Chang, Ching Hua |
貢獻者: | 陳天進 Chen, Ten Ging 張靜華 Chang, Ching Hua |
關鍵詞: | 半純函數 Prescribed Values |
日期: | 2009 | 上傳時間: | 9-五月-2016 | 摘要: | 在這篇論文裡，我們探討半純函數指定兩個值之相關問題。特別地，我們探討純函數指定0-1集，同時，我們論證了有關離散型複數數列之一些有趣的結果，利用它們得到關於指定0-1集純函數存在性的必要條件。 In this thesis, we study meromorphic functions with two prescribed values. Especially, entire functions with prescribed zero-one sets. Also, we develop the growth criterion for discrete complex sequences and obtain some interesting results. Using the order of discrete sequences, we obtain a necessary condition for the existence of entire functions with prescribed zero-one set. 謝辭 i\r\nAbstract ii\r\n中文摘要 iii\r\nIntroduction 1\r\nMeromorphic Functions with Prescribed Zero-Pole Sets 2\r\nThe Growth of Discrete Sequences 6\r\nBasic Theory of Value Distribution 18\r\nEntire Functions with Prescribed Zero-One Sets 25\r\nReferences 34 |
參考文獻: | [1] L. V. Ahlfors, Complex analysis, Third edition,McGraw-Hill, 1979.\r\n[2] J. B. Conway, Functions of one complex variable, Second\r\nedition, Springer-Verlag, 1973.\r\n[3] F. Gross, Factorization of meromorphic functions, U. S.\r\nGovernment Printing Office, Washington, D. C. , 1972.\r\n[4] W. K. Hayman, Meromorphic functions, Clarendon Press,\r\nOxford, 1964.\r\n[5] R. Nevanlinna, Le theoreme de Picard-Borel et la theorie des fonctions meromorphes, Gauthiers-Villars,\r\nParis, 1929.\r\n[6] M. Ozawa, On the zero-one set of an entire function, Kodai Math. J. , 2 (1979), 194--199.\r\n[7] L. A. Rubel and C. C. Yang, Interpolation and unavoidable families of meromorphic functions, Mich. Math. J. , 20 (1973), 289--296.\r\n[8] L. Yang, Value distribution theory, Berlin Heidelberg:\r\nSpringer-Verlag, Beijing:Science Press, 1993.\r\n[9] C. C. Yang and C. T. Chuang, Fixed points and factorization theory of meromorphic functions, Peking Univ. Press, 1988.\r\n[10] C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, 2003.\r\n[11] H. X. Yi, Some theorems on systems of meromorphic\r\nfunctions, J. Shandong Univ. , 32 (1997), No.3, 241--247. | 描述: | 碩士 國立政治大學 應用數學系 96972001 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0096972001 | 資料類型: | thesis |
| Appears in Collections: | 學位論文 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| index.html | 115 B | HTML2 | View/Open |
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.