Nevanlinna theory and complex differential equations

Shows how the Nevanlinna theory may be applied to gain insight into complex differential equations. Chapter topics include results from function theory; the Nevanlinna theory of meromorphic functions; Wilman-Valiron theory; linear differential equations with zero distribution in the second order cas...

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Bibliographic Details
Main Author: Laine, Ilpo
Format: eBook Book
Language:English
Published: Berlin ; New York W. de Gruyter 1993
Walter de Gruyter GmbH
De Gruyter
Edition:1
Series:De Gruyter Studies in Mathematics
Subjects:
Differential equations
Functions of complex variables
Nevanlinna theory
ISBN:3110134225, 9783110134223
Online Access:Get full text
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Table of Contents:
  • Intro -- Introduction -- Chapter 1. Results from function theory -- Chapter 2. Nevanlinna theory of meromorphic functions -- Chapter 3. Wiman-Valiron theory -- Chapter 4. Linear differential equations: basic results -- Chapter 5. Linear differential equations: zero distribution in the second order case -- Chapter 6. Complex differential equations and the Schwarzian derivative -- Chapter 7. Higher order linear differential equations -- Chapter 8. Non-homogeneous linear differential equations -- Chapter 9. Basic non-linear differential equations -- Chapter 10. The Malmquist-Yosida-Steinmetz type theorems -- Chapter 11. First order algebraic differential equations -- Chapter 12. Second order algebraic differential equations -- Chapter 13. Algebraic differential equations of arbitrary order -- Chapter 14. Algebraic differential equations and differential fields -- Bibliography -- Index