Value Distribution Theory and Related Topics (Advances in Complex Analysis and Its Applications)
Contributors: Grigor A. Barsegian (Editor); Ilpo Laine (Editor); Chung-Chun Yang (Editor)
Edition: 1 edition
Publisher: Springer
Published: May 31, 2004
Language: eng
Format: Hardcover
Number of pages: 333
ISBN-13: 9781402079504
Subjects: Complex analysis; Mathematics; Differential Equations; Science/Mathematics; Calculus; Mathematical Analysis; Mathematics / Functional Analysis; Functional Analysis; Value distribution theory
First sentence: The leading idea of this program may be described as follows: Many core concepts in pure mathematics deal with zeros of real functions (level sets) or zeros of complex functions or mappings widely studied, mainly quantitatively, in analysis, geometry and topology. 
Description: The volume consists of a collection of articles on the value distribution theory and its applications, both in one and several variables. The applied parts include problems related to geometric function theory, linear operators of entire functions, differential and functional equations, uniqueness and interpolation. A unique feature of the book is an extensive research program by the first editor on the Gamma-lines approach to analysis. Some aspects in the book consider Diophantine type equations for meromorphic functions, offering new challenges to complex analysis. Audience: Researchers and postgraduate students in complex analysis, differential equations and algebraic geometry would find this book of interest.