Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/36396
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
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\r\nmeromorphic functions, in particular, prime and pseudo-prime\r\nfunctions. Also, we obtain a new class of prime polynomials of\r\ncomposite degree.
Abstract i\r\n中文摘要 ii\r\n1 Introduction 1\r\n2 Factorization of Polynomials 2\r\n3 Pseudo-prime Functions 20\r\n4 Prime Functions 27\r\n5 An application 40\r\nReferences 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
Appears in Collections:學位論文

Files in This Item:
File SizeFormat
index.html115 BHTML2View/Open
Show full item record

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.