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| Title | 有理函數之分解 The Factorization of Rational Functions |
| Creator | 梁順豪 Liang ,Shun-Hao |
| Contributor | 陳天進 梁順豪 Liang ,Shun-Hao |
| Key Words | 有理函數 分解 rational function factorization |
| Date | 2003 |
| Date Issued | 17-Sep-2009 13:45:51 (UTC+8) |
| Summary | 在這篇論文裡，我們主要有兩部分。首先，我們給了一類新的素有理函數，接下來，我們整理了一個有理函數分解的反例，並討論了Weierstrass p-函數的素性。 In this thesis, our primary objective here is two parts. First, we give a new class of prime rational functions. Next, we study an example in the factorization of the rational functions and the primeness of the Weierstrass p-function. |
| 參考文獻 | 1. Chi-Tai Chuang and Chung-Chun Yang, Fix-Points and Factorization of Meromorphic Functions, World Scientific, singapore. (1990). 2. F. Gross, Factorization of Meromorphic Functions, U.S. Government Printing Office, Washington, D.C. (1972). 3. F. Gross, Factorization of Meromorphic Functions and Some Open Problems, Lecture Notes in Math, vol. 599 (1977). 4. J.F. Ritt, Prime and composite polynomials, Trans. Amer. Math. Soc. 23, 51-66 (1922). 5. Robert E. Greene and Steven G. Krantz, Function Theory of One Complex Variable, John Wiley and Sons, New York. (1997). 6. Serge Lang, Complex Analysis, 2nd ed, Springer-Verlag, New York. (1985). 7. Serge Lang, Elliptic Function, 2nd ed, Springer-Verlag, New York. (1987) 8. Yang Lo, Value Distribution, Springer-Verlag Berlin Heidelberg and Science Press, Beijing. (1993). 9. Walter Bergweiler, An Example Concerning Iteration and Factorization of Rational Functions, Exposition. Math, 11, 281-283 (1993). 10. W. K. Hayman, Meromorphic Functions, Oxford Mathematical Monographs, Oxford, 1964. 11. W. K. Hayman and Joseph Miles, On the Growth of a Meromorphic Function and Its Derivatives, Complex Variables, 12, 245-260 (1989). 12. W. K. Nicholson, Introduction to Abstract Algebra, John Wiley and Sons, New York, 1999. 13. 沈璿, 橢圓函數概論, 國立編譯館 (1982) 14. 洪焌維, 純函數與半純函數之分解, 政治大學應用數學系碩士論文. (2003) 15. 楊重駿,宋國棟, 複變函數分解論, 凡異出版社. |
| Description | 碩士 國立政治大學 應用數學研究所 91751004 92 |
| 資料來源 | http://thesis.lib.nccu.edu.tw/record/#G0091751004 |
| Type | thesis |
| dc.contributor.advisor | 陳天進 | zh_TW |
| dc.contributor.author (Authors) | 梁順豪 | zh_TW |
| dc.contributor.author (Authors) | Liang ,Shun-Hao | en_US |
| dc.creator (作者) | 梁順豪 | zh_TW |
| dc.creator (作者) | Liang ,Shun-Hao | en_US |
| dc.date (日期) | 2003 | en_US |
| dc.date.accessioned | 17-Sep-2009 13:45:51 (UTC+8) | - |
| dc.date.available | 17-Sep-2009 13:45:51 (UTC+8) | - |
| dc.date.issued (上傳時間) | 17-Sep-2009 13:45:51 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0091751004 | en_US |
| dc.identifier.uri (URI) | https://nccur.lib.nccu.edu.tw/handle/140.119/32567 | - |
| 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) | 91751004 | zh_TW |
| dc.description (描述) | 92 | zh_TW |
| dc.description.abstract (摘要) | 在這篇論文裡，我們主要有兩部分。首先，我們給了一類新的素有理函數，接下來，我們整理了一個有理函數分解的反例，並討論了Weierstrass p-函數的素性。 | zh_TW |
| dc.description.abstract (摘要) | In this thesis, our primary objective here is two parts. First, we give a new class of prime rational functions. Next, we study an example in the factorization of the rational functions and the primeness of the Weierstrass p-function. | en_US |
| dc.description.tableofcontents | Abstract 中文摘要 1.Introduction 2.A Class of Rational Functions 3.Factorization of the Weierstrass p-Function Reference | 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/#G0091751004 | en_US |
| dc.subject (關鍵詞) | 有理函數 | zh_TW |
| dc.subject (關鍵詞) | 分解 | zh_TW |
| dc.subject (關鍵詞) | rational function | en_US |
| dc.subject (關鍵詞) | factorization | en_US |
| dc.title (題名) | 有理函數之分解 | zh_TW |
| dc.title (題名) | The Factorization of Rational Functions | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | 1. Chi-Tai Chuang and Chung-Chun Yang, Fix-Points and | zh_TW |
| dc.relation.reference (參考文獻) | Factorization of Meromorphic Functions, World Scientific, | zh_TW |
| dc.relation.reference (參考文獻) | singapore. (1990). | zh_TW |
| dc.relation.reference (參考文獻) | 2. F. Gross, Factorization of Meromorphic Functions, U.S. | zh_TW |
| dc.relation.reference (參考文獻) | Government Printing Office, Washington, D.C. (1972). | zh_TW |
| dc.relation.reference (參考文獻) | 3. F. Gross, Factorization of Meromorphic Functions and Some | zh_TW |
| dc.relation.reference (參考文獻) | Open Problems, Lecture Notes in Math, vol. 599 (1977). | zh_TW |
| dc.relation.reference (參考文獻) | 4. J.F. Ritt, Prime and composite polynomials, Trans. Amer. Math. Soc. 23, 51-66 (1922). | zh_TW |
| dc.relation.reference (參考文獻) | 5. Robert E. Greene and Steven G. Krantz, Function Theory of | zh_TW |
| dc.relation.reference (參考文獻) | One Complex Variable, John Wiley and Sons, New York. (1997). | zh_TW |
| dc.relation.reference (參考文獻) | 6. Serge Lang, Complex Analysis, 2nd ed, Springer-Verlag, | zh_TW |
| dc.relation.reference (參考文獻) | New York. (1985). | zh_TW |
| dc.relation.reference (參考文獻) | 7. Serge Lang, Elliptic Function, 2nd ed, Springer-Verlag, | zh_TW |
| dc.relation.reference (參考文獻) | New York. (1987) | zh_TW |
| dc.relation.reference (參考文獻) | 8. Yang Lo, Value Distribution, Springer-Verlag | zh_TW |
| dc.relation.reference (參考文獻) | Berlin Heidelberg and Science Press, Beijing. (1993). | zh_TW |
| dc.relation.reference (參考文獻) | 9. Walter Bergweiler, An Example Concerning Iteration and | zh_TW |
| dc.relation.reference (參考文獻) | Factorization of Rational Functions, Exposition. Math, 11, | zh_TW |
| dc.relation.reference (參考文獻) | 281-283 (1993). | zh_TW |
| dc.relation.reference (參考文獻) | 10. W. K. Hayman, Meromorphic Functions, Oxford Mathematical | zh_TW |
| dc.relation.reference (參考文獻) | Monographs, Oxford, 1964. | zh_TW |
| dc.relation.reference (參考文獻) | 11. W. K. Hayman and Joseph Miles, On the Growth of a Meromorphic Function and Its Derivatives, Complex Variables, 12, 245-260 (1989). | zh_TW |
| dc.relation.reference (參考文獻) | 12. W. K. Nicholson, Introduction to Abstract Algebra, John | zh_TW |
| dc.relation.reference (參考文獻) | Wiley and Sons, New York, 1999. | zh_TW |
| dc.relation.reference (參考文獻) | 13. 沈璿, 橢圓函數概論, 國立編譯館 (1982) | zh_TW |
| dc.relation.reference (參考文獻) | 14. 洪焌維, 純函數與半純函數之分解, 政治大學應用數學系碩士論文. (2003) | zh_TW |
| dc.relation.reference (參考文獻) | 15. 楊重駿,宋國棟, 複變函數分解論, 凡異出版社. | zh_TW |