Nevanlinna Theory, Normal Families, and Algebraic Differential Equations

• Main Author: Steinmetz, Norbert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Universitext,
• Subjects: Mathematics.; Difference equations.; Functional equations.; Functions of complex variables.; Differential equations.; Functions of a Complex Variable.; Ordinary Differential Equations.; Difference and Functional Equations.

This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. Following a comprehensive treatment of Nevanlinna’s theory of value distribution, the author presents...

Table of Contents:

• Introduction and preface
• Selected Topics in Complex Analysis
• Nevanlinna Theory
• Selected Applications of Nevanlinna Theory
• Normal Families
• Algebraic Differential Equations
• Higher-Order Algebraic Differential Equations
• Index.