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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/36396
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dc.contributor.advisor陳天進zh_TW
dc.contributor.advisorTen-Ging Chenen_US
dc.contributor.author洪焌維zh_TW
dc.contributor.authorJiun-Wei Hungen_US
dc.creator洪焌維zh_TW
dc.creatorJiun-Wei Hungen_US
dc.date2002en_US
dc.date.accessioned2009-09-18T10:28:28Z-
dc.date.available2009-09-18T10:28:28Z-
dc.date.issued2009-09-18T10:28:28Z-
dc.identifierG0090751002en_US
dc.identifier.urihttps://nccur.lib.nccu.edu.tw/handle/140.119/36396-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description90751002zh_TW
dc.description91zh_TW
dc.description.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。zh_TW
dc.description.abstractIn 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.en_US
dc.description.abstractAbstract 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-
dc.description.tableofcontentsAbstract 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 47zh_TW
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0090751002en_US
dc.subjectfactorization of polynomialen_US
dc.subjectpseudo-prime functionen_US
dc.subjectprime functionen_US
dc.subjectfactoren_US
dc.titleThe Factorization of Entire and Meromorphic Functionszh_TW
dc.typethesisen
dc.relation.reference[1] I. N. Baker and F. Gross, Further Results on Factorizationzh_TW
dc.relation.referenceof Entire Functions, Proc. Sympos. in Pure Math. 11, Entirezh_TW
dc.relation.referenceFunctions and Related Parts of Analysis, 30 (1968).zh_TW
dc.relation.reference[2] A. Edrei and W. H. Fuchs, On the zeros ofzh_TW
dc.relation.referencef(g(z)) where f and g are entire functions}, J. Analysezh_TW
dc.relation.referenceMath.12, 243-255 (1964).zh_TW
dc.relation.reference[3] F. Gross, On the Periodicity of Compositions of Entirezh_TW
dc.relation.referenceFunctions, Canadian J. Math. 18, 724 (1966).zh_TW
dc.relation.reference[4] F. Gross, On Factorization of Meromorphic Functions, Trans.zh_TW
dc.relation.referenceAmer. Math. Soc. 131, 215 (1968).zh_TW
dc.relation.reference[5] F. Gross, Factorization of Entire Functions which arezh_TW
dc.relation.referencePeriodic Mod g, Indian J. Pure Appl. Math. 2, No. 3 (1971).zh_TW
dc.relation.reference[6] F. Gross, Factorization of Meromorphic Functions, U.S.zh_TW
dc.relation.referenceGovernment Printing Office, Washington, D.C. (1972).zh_TW
dc.relation.reference[7] F. Gross, Factorization of Meromorphic Functions and Somezh_TW
dc.relation.referenceOpen Problems, Lecture Notes in Math, vol. 599 (1977).zh_TW
dc.relation.reference[8] W. K. Hayman, Meromorphic Functions, Oxford Mathematicalzh_TW
dc.relation.referenceMonographs, Clarendon Press, Oxford, 1964.zh_TW
dc.relation.reference[9] W. K. Nicholson, Introduction to Abstract Algebra, Johnzh_TW
dc.relation.referenceWiley and Sons, New York, 1999.zh_TW
dc.relation.reference[10] R. Nevanlinna, Le the`ore`me de Picard-Borel et lazh_TW
dc.relation.referencethe`orie des fonctions me`romorphes, Gauthier-zh_TW
dc.relation.referenceVillar, Paris,1929.zh_TW
dc.relation.reference[11] G. Po`lya, On An Integral Function of An Integralzh_TW
dc.relation.referenceFunction, J. London Math. Soc. 1, 12 (1926).zh_TW
dc.relation.reference[12] J. F. Ritt, Prime and Composite Polynomials, Trans. Amer.zh_TW
dc.relation.referenceMath. Soc. 23, 51 (1922).zh_TW
dc.relation.reference[13] P. C. Rosenbloom, The Fix-points of Entire Functions, Meddzh_TW
dc.relation.referenceLunds. Univ. Mat-Sum. Suppl. Ed. M. Riesz, 186-192 (1952)zh_TW
item.languageiso639-1en_US-
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item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
item.grantfulltextopen-
item.openairetypethesis-
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