The Factorization Of Entire And Meromorphic Functions

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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.

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.

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 Meromophic Functions

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Author : United States. Naval Research Office
language : en
Publisher:
Release Date : 1972

Factorization Of Meromophic Functions written by United States. Naval Research Office 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.

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.

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.

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

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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.

Entire And Meromorphic Functions

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Author : Lee A. Rubel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Entire And Meromorphic Functions written by Lee A. Rubel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Mathematics is a beautiful subject, and entire functions is its most beautiful branch. Every aspect of mathematics enters into it, from analysis, algebra, and geometry all the way to differential equations and logic. For example, my favorite theorem in all of mathematics is a theorem of R. NevanJinna that two functions, meromorphic in the whole complex plane, that share five values must be identical. For real functions, there is nothing that even remotely corresponds to this. This book is an introduction to the theory of entire and meromorphic functions, with a heavy emphasis on Nevanlinna theory, otherwise known as value-distribution theory. Things included here that occur in no other book (that we are aware of) are the Fourier series method for entire and mero morphic functions, a study of integer valued entire functions, the Malliavin Rubel extension of Carlson's Theorem (the "sampling theorem"), and the first-order theory of the ring of all entire functions, and a final chapter on Tarski's "High School Algebra Problem," a topic from mathematical logic that connects with entire functions. This book grew out of a set of classroom notes for a course given at the University of Illinois in 1963, but they have been much changed, corrected, expanded, and updated, partially for a similar course at the same place in 1993. My thanks to the many students who prepared notes and have given corrections and comments.

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.