Nevanlinna’s Theory of Value Distribution

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Release : 2001-04-24
Genre : Mathematics
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Book Rating : 161/5 ( reviews)

Nevanlinna’s Theory of Value Distribution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nevanlinna’s Theory of Value Distribution write by William Cherry. This book was released on 2001-04-24. Nevanlinna’s Theory of Value Distribution available in PDF, EPUB and Kindle. This monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution as well as a valuable reference for research specialists. Authors present, for the first time in book form, the most modern and refined versions of the Second Main Theorem with precise error terms, in both the geometric and logarithmic derivative based approaches. A unique feature of the monograph is its number theoretic digressions These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.

Value Distribution of Meromorphic Functions

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Release : 2011-03-31
Genre : Mathematics
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Book Rating : 099/5 ( reviews)

Value Distribution of Meromorphic Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Value Distribution of Meromorphic Functions write by Jianhua Zheng. This book was released on 2011-03-31. Value Distribution of Meromorphic Functions available in PDF, EPUB and Kindle. "Value Distribution of Meromorphic Functions" focuses on functions meromorphic in an angle or on the complex plane, T directions, deficient values, singular values, potential theory in value distribution and the proof of the celebrated Nevanlinna conjecture. The book introduces various characteristics of meromorphic functions and their connections, several aspects of new singular directions, new results on estimates of the number of deficient values, new results on singular values and behaviours of subharmonic functions which are the foundation for further discussion on the proof of the Nevanlinna conjecture. The independent significance of normality of subharmonic function family is emphasized. This book is designed for scientists, engineers and post graduated students engaged in Complex Analysis and Meromorphic Functions. Dr. Jianhua Zheng is a Professor at the Department of Mathematical Sciences, Tsinghua University, China.

Nevanlinna’s Theory of Value Distribution

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Release : 2013-03-14
Genre : Mathematics
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Book Rating : 900/5 ( reviews)

Nevanlinna’s Theory of Value Distribution - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nevanlinna’s Theory of Value Distribution write by William Cherry. This book was released on 2013-03-14. Nevanlinna’s Theory of Value Distribution available in PDF, EPUB and Kindle. This monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution as well as a valuable reference for research specialists. Authors present, for the first time in book form, the most modern and refined versions of the Second Main Theorem with precise error terms, in both the geometric and logarithmic derivative based approaches. A unique feature of the monograph is its number theoretic digressions These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.

Value Distribution Theory

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Release : 2013-10-03
Genre : Mathematics
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Book Rating : 176/5 ( reviews)

Value Distribution Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Value Distribution Theory write by Yang Lo. This book was released on 2013-10-03. Value Distribution Theory available in PDF, EPUB and Kindle. It is well known that solving certain theoretical or practical problems often depends on exploring the behavior of the roots of an equation such as (1) J(z) = a, where J(z) is an entire or meromorphic function and a is a complex value. It is especially important to investigate the number n(r, J = a) of the roots of (1) and their distribution in a disk Izl ~ r, each root being counted with its multiplicity. It was the research on such topics that raised the curtain on the theory of value distribution of entire or meromorphic functions. In the last century, the famous mathematician E. Picard obtained the pathbreaking result: Any non-constant entire function J(z) must take every finite complex value infinitely many times, with at most one excep tion. Later, E. Borel, by introducing the concept of the order of an entire function, gave the above result a more precise formulation as follows. An entire function J (z) of order A( 0 A

Diophantine Approximations and Value Distribution Theory

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Release : 2006-11-15
Genre : Mathematics
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Book Rating : 528/5 ( reviews)

Diophantine Approximations and Value Distribution Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Diophantine Approximations and Value Distribution Theory write by Paul Alan Vojta. This book was released on 2006-11-15. Diophantine Approximations and Value Distribution Theory available in PDF, EPUB and Kindle.