Download or read book Factorization of Meromorphic Functions written by Fred Gross and published by . This book was released on 1973 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fix points And Factorization Of Meromorphic Functions Topics In Complex Analysis written by Chung-chun Yang and published by World Scientific. This book was released on 1990-01-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.

Download or read book Fix points and Factorization of Meromorphic Functions written by Qitai Zhuang and published by World Scientific. This book was released on 1990 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fix-points and factorization of meromorphic functions have become two research topics that have attracted many complex analysts' attention throughout the world; notably in U.S., China, and Japan. The first two chapters reintroduce Nevanlinna's theory of meromorphic functions and Montel's normal families theory for entire functions. Based on these, several theorems on fix-points were derived. The last two chapters introduce the factorization theory and the relationships between the fix-points and factorization; many recent results in factorization theory were reported and related open questions were raised for further study. This book provides a timely introduction to some of the topics that are currently pursued by many complex analysts. For instance, the fix-points of itrates of functions is closely related to the fractal mathematics, which has just been realized to be useful in many branches of engineering and physics as well as in computer graphics.

Download or read book Factorization of Meromophic Functions written by United States. Naval Research Office and published by . This book was released on 1972 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On Periodic Left Factors of Meromorphic Functions written by Fred Gross and published by . This book was released on 1969 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The factorization of entire and meromorphic functions written by 洪焌維 and published by . This book was released on 2003 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Factorization Theory of Meromorphic Functions and Related Topics written by Chung-Chun Yang and published by . This book was released on 1982 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Factorization of Meromorphic Functions written by Fred Gross and published by . This book was released on 1972 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Factorization of Certain Meromorphic Functions written by Can Qiao Feng and published by . This book was released on 2008 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Factorization of Entire and Meromorphic Functions written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Further Results on Factorization Theory of Meromorphic Functions written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we shall prove some results which, in turn, will allow us to solve some factorization problems in a systematic way. Also, we shall utilize new methods from theory of complex analytic sets and local holomorphic dynamlics to solve some factorization problems. In Chapter 3, by using an extended version of Steinmetz's theorem, we prove that certain class of meromorphic functions is pseudo-prime. Hence, we can prove that under certain conditions, R(z)H(z) is pseudo-prime, where R(z) is a non-constant rational function and H(z) is a finite order periodic function. In Chapter 4, we try to find out all possible factorizations of p(z)H(z) when H is an exponential type periodic function and p is a non-constant polynomial. This confirms a conjecture of G.D. Song and C.C. Yang. In Chapter 5, we shall use results from theory of complex analytic sets to prove certain criteria on the existence of a non-linear entire common right factor of two entire functions. Applying these criteria, we can then prove that if f is an entire function which is pseudo-prime and not of the form H(Q(z)), where H is a periodic entire function and Q is a polynomial, then R(f(z)) is also pseudo-prime for any non-constant rational function R. This result essentially solves a problem of G.D. Song and is a fundamental property of pseudo-prime function. We also give other applications of these criteria to unique factorization problems. In Chapter 6, we consider the unique factorization problems of f o p and p o f where f is a prime transcendental entire function and p is prime polynomal. We shall use methods from local holomorphic dynamics to solve these problems.

Download or read book Asian Mathematical Conference 1990 Proceedings Of The Conference written by Li Zhong and published by #N/A. This book was released on 1992-03-31 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Several Complex Variables in China written by Chung-Chun Yang and published by American Mathematical Soc.. This book was released on 1993 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, there is increasing interest in complex geometry, geometric function theory, and integral representation theory of several complex variables. The present collection of survey and research articles comprises a current overview of research in several complex variables in China. Among the topics covered are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods. Some results are reported in English for the first time.

Download or read book Meromorphic Functions over Non Archimedean Fields written by Pei-Chu Hu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non Archimedean analysis and Diophantine approximations. There are two "main theorems" and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman's conjecture and Griffiths-Lang's conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100],[101] for n > k ~ 1; Shiffman's conjecture partially solved by Hu-Yang [71J; Griffiths-Lang's conjecture (open).

Download or read book Proceedings Of The Second Asian Mathematical Conference 1995 written by S Tangmanee and published by World Scientific. This book was released on 1998-02-17 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume covers the main fields of mathematics: analysis, algebra and number theory, geometry and topology, combinatorics and graphs, applied mathematics, numerical analysis and computer mathematics, probability and statistics, teaching and popularization of mathematics.

Download or read book Value Distribution Theory Related to Number Theory written by Pei-Chu Hu and published by Springer Science & Business Media. This book was released on 2006-10-06 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the book is Diophantine approximation and Nevanlinna theory. This book proves not just some new results and directions but challenging open problems in Diophantine approximation and Nevanlinna theory. The authors’ newest research activities on these subjects over the past eight years are collected here. Some of the significant findings are the proof of Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, generalized abc-conjecture, and more.

Download or read book Dynamics of Transcendental Functions written by Xin-Hou Hua and published by Routledge. This book was released on 2019-01-22 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this extensive work, the authors give a complete self-contained exposition on the subject of classic function theory and the most recent developments in transcendental iteration. They clearly present the theory of iteration of transcendental functions and their analytic and geometric aspects. Attention is concentrated for the first time on the d