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
Nevanlinna’s Theory of Value Distribution
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.
Diophantine Approximations and Value Distribution Theory
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.
Value Distribution of Meromorphic Functions
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 Anatoliĭ Asirovich Golʹdberg. This book was released on 2008. Value Distribution of Meromorphic Functions available in PDF, EPUB and Kindle. "This book contains a comprehensive exposition of the Nevanlinna theory of meromorphic functions of one complex variable, with detailed study of deficiencies, value distribution, and asymptotic properties of meromorphic functions." "The main body of the book is a translation of the Russian original published in 1970, which has been one of the most popular sources in this field since then. New references and footnotes related to recent achievements in the topics considered in the original edition have been added and a few corrections made. A new Appendix with a survey of the results obtained after 1970 and extensive bibliography has been written by Alexandre Ermenko and James K. Langley for this English edition." "The only prerequisite for understanding material of this book is an undergraduate course in the theory of functions of one complex variable."--BOOK JACKET.
Extreme Value Distributions
Extreme Value Distributions - 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 Extreme Value Distributions write by Samuel Kotz. This book was released on 2000. Extreme Value Distributions available in PDF, EPUB and Kindle. This important book provides an up-to-date comprehensive and down-to-earth survey of the theory and practice of extreme value distributions OCo one of the most prominent success stories of modern applied probability and statistics. Originated by E J Gumbel in the early forties as a tool for predicting floods, extreme value distributions evolved during the last 50 years into a coherent theory with applications in practically all fields of human endeavor where maximal or minimal values (the so-called extremes) are of relevance. The book is of usefulness both for a beginner with a limited probabilistic background and to expert in the field. Sample Chapter(s). Chapter 1.1: Historical Survey (139 KB). Chapter 1.2: The Three Types of Extreme Value Distributions (146 KB). Chapter 1.3: Limiting Distributions and Domain of Attraction (210 KB). Chapter 1.4: Distribution Function and Moments of Type 1 Distribution (160 KB). Chapter 1.5: Order Statistics, Record Values and Characterizations (175 KB). Contents: Univariate Extreme Value Distributions; Generalized Extreme Value Distributions; Multivariate Extreme Value Distributions. Readership: Applied probabilists, applied statisticians, environmental scientists, climatologists, industrial engineers and management experts."
