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Factorization Of Meromorphic Functions


Factorization Of Meromorphic Functions
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Factorization Of Meromorphic Functions


Factorization Of Meromorphic Functions
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Author : Fred Gross
language : en
Publisher:
Release Date : 1973

Factorization Of Meromorphic Functions written by Fred Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Factors (Algebra). categories.




Fix Points And Factorization Of Meromorphic Functions Topics In Complex Analysis


Fix Points And Factorization Of Meromorphic Functions Topics In Complex Analysis
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Author : Chung-chun Yang
language : en
Publisher: World Scientific
Release Date : 1990-01-01

Fix Points And Factorization Of Meromorphic Functions Topics In Complex Analysis written by Chung-chun Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.


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.



Fix Points And Factorization Of Meromorphic Functions


Fix Points And Factorization Of Meromorphic Functions
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Author : Qitai Zhuang
language : en
Publisher: World Scientific
Release Date : 1990

Fix Points And Factorization Of Meromorphic Functions written by Qitai Zhuang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.


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.



Factorization Of Meromorphic Functions


Factorization Of Meromorphic Functions
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Author : Fred Gross
language : en
Publisher:
Release Date : 1972

Factorization Of Meromorphic Functions written by Fred Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Factors (Algebra) categories.




Factorization Theory Of Meromorphic Functions And Related Topics


Factorization Theory Of Meromorphic Functions And Related Topics
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Author : Chung-Chun Yang
language : en
Publisher:
Release Date : 1982

Factorization Theory Of Meromorphic Functions And Related Topics written by Chung-Chun Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.




The Factorization Of Certain Meromorphic Functions


The Factorization Of Certain Meromorphic Functions
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Author : Can Qiao Feng
language : en
Publisher:
Release Date : 2008

The Factorization Of Certain Meromorphic Functions written by Can Qiao Feng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Factorization (Mathematics) categories.




On Periodic Left Factors Of Meromorphic Functions


On Periodic Left Factors Of Meromorphic Functions
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Author : Fred Gross
language : en
Publisher:
Release Date : 1969

On Periodic Left Factors Of Meromorphic Functions written by Fred Gross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Functions, Meromorphic categories.




The Factorization Of Entire And Meromorphic Functions


The Factorization Of Entire And Meromorphic Functions
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Author : 洪焌維
language : zh-CN
Publisher:
Release Date : 2003

The Factorization Of Entire And Meromorphic Functions written by 洪焌維 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.




Further Results On Factorization Theory Of Meromorphic Functions


Further Results On Factorization Theory Of Meromorphic Functions
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Author :
language : en
Publisher:
Release Date :

Further Results On Factorization Theory Of Meromorphic Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.



The Factorization Of Entire And Meromorphic Functions


The Factorization Of Entire And Meromorphic Functions
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Author :
language : en
Publisher:
Release Date :

The Factorization Of Entire And Meromorphic Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.


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.