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 polynomial pseudo-prime function prime function factor |
| 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 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) |
| Description: | 碩士 國立政治大學 應用數學研究所 90751002 91 |
| 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:
|
All items in 學術集成 are protected by copyright, with all rights reserved.
| 社群 sharing |