Please use this identifier to cite or link to this item: `https://ah.nccu.edu.tw/handle/140.119/36396`

 Title: The Factorization of Entire and Meromorphic Functions Authors: 洪焌維Jiun-Wei Hung Contributors: 陳天進Ten-Ging Chen洪焌維Jiun-Wei Hung Keywords: factorization of polynomialpseudo-prime functionprime functionfactor Date: 2002 Issue Date: 2009-09-18 18:28:28 (UTC+8) Abstract: 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 Reference: [1] I. N. Baker and F. Gross, Further Results on Factorizationof Entire Functions, Proc. Sympos. in Pure Math. 11, EntireFunctions and Related Parts of Analysis, 30 (1968).[2] A. Edrei and W. H. Fuchs, On the zeros off(g(z)) where f and g are entire functions}, J. AnalyseMath.12, 243-255 (1964).[3] F. Gross, On the Periodicity of Compositions of EntireFunctions, 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 arePeriodic 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 SomeOpen Problems, Lecture Notes in Math, vol. 599 (1977).[8] W. K. Hayman, Meromorphic Functions, Oxford MathematicalMonographs, Clarendon Press, Oxford, 1964.[9] W. K. Nicholson, Introduction to Abstract Algebra, JohnWiley and Sons, New York, 1999.[10] R. Nevanlinna, Le the'ore'me de Picard-Borel et lathe'orie des fonctions me'romorphes, Gauthier-Villar, Paris,1929.[11] G. Po'lya, On An Integral Function of An IntegralFunction, 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, MeddLunds. Univ. Mat-Sum. Suppl. Ed. M. Riesz, 186-192 (1952) Description: 碩士國立政治大學應用數學研究所9075100291 Source URI: http://thesis.lib.nccu.edu.tw/record/#G0090751002 Data Type: thesis Appears in Collections: [應用數學系] 學位論文

Files in This Item:

File SizeFormat
index.html0KbHTML379View/Open