學術產出-學位論文

題名 有理函數之分解
The Factorization of Rational Functions
作者 梁順豪
Liang ,Shun-Hao
貢獻者 陳天進
梁順豪
Liang ,Shun-Hao
關鍵詞 有理函數
分解
rational function
factorization
日期 2003
上傳時間 17-九月-2009 13:45:51 (UTC+8)
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。
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.
描述 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
資料類型 thesis
dc.contributor.advisor 陳天進zh_TW
dc.contributor.author (作者) 梁順豪zh_TW
dc.contributor.author (作者) Liang ,Shun-Haoen_US
dc.creator (作者) 梁順豪zh_TW
dc.creator (作者) Liang ,Shun-Haoen_US
dc.date (日期) 2003en_US
dc.date.accessioned 17-九月-2009 13:45:51 (UTC+8)-
dc.date.available 17-九月-2009 13:45:51 (UTC+8)-
dc.date.issued (上傳時間) 17-九月-2009 13:45:51 (UTC+8)-
dc.identifier (其他 識別碼) G0091751004en_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) 91751004zh_TW
dc.description (描述) 92zh_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.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0091751004en_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 functionen_US
dc.subject (關鍵詞) factorizationen_US
dc.title (題名) 有理函數之分解zh_TW
dc.title (題名) The Factorization of Rational Functionsen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1. Chi-Tai Chuang and Chung-Chun Yang, Fix-Points andzh_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 Somezh_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 ofzh_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-Verlagzh_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 andzh_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 Mathematicalzh_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, Johnzh_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