Fix-points And Factorization Of Meromorphic Functions: Topics In Complex Analysis
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A01=Chung-chun Yang
A01=Qitai Zhuang
Author_Chung-chun Yang
Author_Qitai Zhuang
Category=PBKD
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Factorization of Meromorphic Functions
Fixed Points of Composite Functions
Fixed Points of Meromorphic Functions
W Bergweiler
Product details
- ISBN 9789810200084
- Publication Date: 01 Jan 1990
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
