Value Distribution Theory and Related Topics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Barsegian, G. (Editor), Laine, I. (Editor), Yang, C. C. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2004.
• Series: Advances in Complex Analysis and Its Applications ; 3
• Subjects: Mathematics.; Functions of complex variables.; Differential equations.; Functions of a Complex Variable.; Several Complex Variables and Analytic Spaces.; Ordinary Differential Equations.

The Nevanlinna theory of value distribution of meromorphic functions, one of the milestones of complex analysis during the last century, was c- ated to extend the classical results concerning the distribution of of entire functions to the more general setting of meromorphic functions. Later on, a si...

Table of Contents:

• Geometric value distribution theory
• A New Program of Investigations in Analysis: Gamma-Lines Approaches
• On Level Sets of Quasiconformal Mappings
• Classical value distribution theory
• On the Unintegrated Nevanlinna Fundamental Inequality for Meromorphic Functions of Slow Growth
• On Some New Concept of Exceptional Values
• Maximum Modulus Points, Deviations and Spreads of Meromorphic Functions
• Composition Theorems, Multiplier Sequences and Complex Zero Decreasing Sequences
• Nevanlinna Theory in an Annulus
• On Strong Asymptotic Tracts of Functions Holomorphic in a Disk
• Complex differential and functional equations
• A New Trend in Complex Differential Equations: Quasimeromorphic Solutions
• On the Functional Equation P(F)=Q(G)
• Value Distribution of the Higher Order Analogues of the First Painlevé Equation
• Some Further Results on the Functional Equation P(F)=Q(G)
• Several variables theory
• Recent Topics in Uniqueness Problem for Meromorphic Mappings
• On Interpolation Problems in Cn
• Jet Bundles and its Applications in Value Distribution of Holomorphic Mappings
• Normal Families of Meromorphic Mappings of Several Complex Variables into the Complex Projective Space.