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題名 The Factorization of Entire and Meromorphic Functions
作者 洪焌維
Jiun-Wei Hung
貢獻者 陳天進
Ten-Ging Chen
洪焌維
Jiun-Wei Hung
關鍵詞 factorization of polynomial
pseudo-prime function
prime function
factor
日期 2002
上傳時間 18-Sep-2009 18:28:28 (UTC+8)
摘要 在這篇論文中，我們將探討整函數與半純函數之分解。並且著重於質函數與擬質函數之研究。同時，我們證明某類多項式其次數為合成數且為質函數。
In this thesis, we study some factorizations of entire and
     meromorphic functions, in particular, prime and pseudo-prime
     functions. Also, we obtain a new class of prime polynomials of
     composite degree.
Abstract i
     中文摘要 ii
     1 Introduction 1
     2 Factorization of Polynomials 2
     3 Pseudo-prime Functions 20
     4 Prime Functions 27
     5 An application 40
     References 47
參考文獻 [1] I. N. Baker and F. Gross, Further Results on Factorization
of Entire Functions, Proc. Sympos. in Pure Math. 11, Entire
Functions and Related Parts of Analysis, 30 (1968).
[2] A. Edrei and W. H. Fuchs, On the zeros of
f(g(z)) where f and g are entire functions}, J. Analyse
Math.12, 243-255 (1964).
[3] F. Gross, On the Periodicity of Compositions of Entire
Functions, Canadian J. Math. 18, 724 (1966).
[4] F. Gross, On Factorization of Meromorphic Functions, Trans.
Amer. Math. Soc. 131, 215 (1968).
[5] F. Gross, Factorization of Entire Functions which are
Periodic Mod g, Indian J. Pure Appl. Math. 2, No. 3 (1971).
[6] F. Gross, Factorization of Meromorphic Functions, U.S.
Government Printing Office, Washington, D.C. (1972).
[7] F. Gross, Factorization of Meromorphic Functions and Some
Open Problems, Lecture Notes in Math, vol. 599 (1977).
[8] W. K. Hayman, Meromorphic Functions, Oxford Mathematical
Monographs, Clarendon Press, Oxford, 1964.
[9] W. K. Nicholson, Introduction to Abstract Algebra, John
Wiley and Sons, New York, 1999.
[10] R. Nevanlinna, Le the`ore`me de Picard-Borel et la
the`orie des fonctions me`romorphes, Gauthier-
Villar, Paris,1929.
[11] G. Po`lya, On An Integral Function of An Integral
Function, J. London Math. Soc. 1, 12 (1926).
[12] J. F. Ritt, Prime and Composite Polynomials, Trans. Amer.
Math. Soc. 23, 51 (1922).
[13] P. C. Rosenbloom, The Fix-points of Entire Functions, Medd
Lunds. Univ. Mat-Sum. Suppl. Ed. M. Riesz, 186-192 (1952)
描述 碩士
國立政治大學
應用數學研究所
90751002
91
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0090751002
資料類型 thesis
dc.contributor.advisor 陳天進zh_TW
dc.contributor.advisor Ten-Ging Chenen_US
dc.contributor.author (Authors) 洪焌維zh_TW
dc.contributor.author (Authors) Jiun-Wei Hungen_US
dc.creator (作者) 洪焌維zh_TW
dc.creator (作者) Jiun-Wei Hungen_US
dc.date (日期) 2002en_US
dc.date.accessioned 18-Sep-2009 18:28:28 (UTC+8)-
dc.date.available 18-Sep-2009 18:28:28 (UTC+8)-
dc.date.issued (上傳時間) 18-Sep-2009 18:28:28 (UTC+8)-
dc.identifier (Other Identifiers) G0090751002en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/36396-
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) 90751002zh_TW
dc.description (描述) 91zh_TW
dc.description.abstract (摘要) 在這篇論文中，我們將探討整函數與半純函數之分解。並且著重於質函數與擬質函數之研究。同時，我們證明某類多項式其次數為合成數且為質函數。zh_TW
dc.description.abstract (摘要) In this thesis, we study some factorizations of entire and
     meromorphic functions, in particular, prime and pseudo-prime
     functions. Also, we obtain a new class of prime polynomials of
     composite degree.		en_US
dc.description.abstract (摘要) Abstract i
     中文摘要 ii
     1 Introduction 1
     2 Factorization of Polynomials 2
     3 Pseudo-prime Functions 20
     4 Prime Functions 27
     5 An application 40
     References 47		-
dc.description.tableofcontents Abstract i
     中文摘要 ii
     1 Introduction 1
     2 Factorization of Polynomials 2
     3 Pseudo-prime Functions 20
     4 Prime Functions 27
     5 An application 40
     References 47		zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0090751002en_US
dc.subject (關鍵詞) factorization of polynomialen_US
dc.subject (關鍵詞) pseudo-prime functionen_US
dc.subject (關鍵詞) prime functionen_US
dc.subject (關鍵詞) factoren_US
dc.title (題名) The Factorization of Entire and Meromorphic Functionszh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) [1] I. N. Baker and F. Gross, Further Results on Factorizationzh_TW
dc.relation.reference (參考文獻) of Entire Functions, Proc. Sympos. in Pure Math. 11, Entirezh_TW
dc.relation.reference (參考文獻) Functions and Related Parts of Analysis, 30 (1968).zh_TW
dc.relation.reference (參考文獻) [2] A. Edrei and W. H. Fuchs, On the zeros ofzh_TW
dc.relation.reference (參考文獻) f(g(z)) where f and g are entire functions}, J. Analysezh_TW
dc.relation.reference (參考文獻) Math.12, 243-255 (1964).zh_TW
dc.relation.reference (參考文獻) [3] F. Gross, On the Periodicity of Compositions of Entirezh_TW
dc.relation.reference (參考文獻) Functions, Canadian J. Math. 18, 724 (1966).zh_TW
dc.relation.reference (參考文獻) [4] F. Gross, On Factorization of Meromorphic Functions, Trans.zh_TW
dc.relation.reference (參考文獻) Amer. Math. Soc. 131, 215 (1968).zh_TW
dc.relation.reference (參考文獻) [5] F. Gross, Factorization of Entire Functions which arezh_TW
dc.relation.reference (參考文獻) Periodic Mod g, Indian J. Pure Appl. Math. 2, No. 3 (1971).zh_TW
dc.relation.reference (參考文獻) [6] 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) [7] 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) [8] W. K. Hayman, Meromorphic Functions, Oxford Mathematicalzh_TW
dc.relation.reference (參考文獻) Monographs, Clarendon Press, Oxford, 1964.zh_TW
dc.relation.reference (參考文獻) [9] 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) [10] R. Nevanlinna, Le the`ore`me de Picard-Borel et lazh_TW
dc.relation.reference (參考文獻) the`orie des fonctions me`romorphes, Gauthier-zh_TW
dc.relation.reference (參考文獻) Villar, Paris,1929.zh_TW
dc.relation.reference (參考文獻) [11] G. Po`lya, On An Integral Function of An Integralzh_TW
dc.relation.reference (參考文獻) Function, J. London Math. Soc. 1, 12 (1926).zh_TW
dc.relation.reference (參考文獻) [12] J. F. Ritt, Prime and Composite Polynomials, Trans. Amer.zh_TW
dc.relation.reference (參考文獻) Math. Soc. 23, 51 (1922).zh_TW
dc.relation.reference (參考文獻) [13] P. C. Rosenbloom, The Fix-points of Entire Functions, Meddzh_TW
dc.relation.reference (參考文獻) Lunds. Univ. Mat-Sum. Suppl. Ed. M. Riesz, 186-192 (1952)zh_TW