Nevanlinna Theory and Complex Differential Equations

Ilpo Laine

Published by De Gruyter 1993

Nevanlinna Theory and Complex Differential Equations

Ilpo Laine

Volume 15 in the series De Gruyter Studies in Mathematics

https://doi.org/10.1515/9783110863147

Contents

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	V
Introduction Requires Authentication Unlicensed Licensed Download PDF	1
Chapter 1 Results from function theory Requires Authentication Unlicensed Licensed Download PDF	5
Chapter 2 Nevanlinna theory of meromorphic functions Requires Authentication Unlicensed Licensed Download PDF	18
Chapter 3 Wiman-Valiron theory Requires Authentication Unlicensed Licensed Download PDF	50
Chapter 4 Linear differential equations: basic results Requires Authentication Unlicensed Licensed Download PDF	53
Chapter 5 Linear differential equations: zero distribution in the second order case Requires Authentication Unlicensed Licensed Download PDF	74
Chapter 6 Complex differential equations and the Schwarzian derivative Requires Authentication Unlicensed Licensed Download PDF	110
Chapter 7 Higher order linear differential equations Requires Authentication Unlicensed Licensed Download PDF	127
Chapter 8 Non-homogeneous linear differential equations Requires Authentication Unlicensed Licensed Download PDF	144
Chapter 9 Basic non-linear differential equations Requires Authentication Unlicensed Licensed Download PDF	165
Chapter 10 The Malmquist-Yosida-Steinmetz type theorems Requires Authentication Unlicensed Licensed Download PDF	192
Chapter 11 First order algebraic differential equations Requires Authentication Unlicensed Licensed Download PDF	221
Chapter 12 Second order algebraic differential equations Requires Authentication Unlicensed Licensed Download PDF	248
Chapter 13 Algebraic differential equations of arbitrary order Requires Authentication Unlicensed Licensed Download PDF	257
Chapter 14 Algebraic differential equations and differential fields Requires Authentication Unlicensed Licensed Download PDF	285
Bibliography Requires Authentication Unlicensed Licensed Download PDF	311
Index Requires Authentication Unlicensed Licensed Download PDF	339
Backmatter Requires Authentication Unlicensed Licensed Download PDF	343

Language: English
Publisher: De Gruyter
Edition: Reprint 2011
Pages
- Front matter: 8
- Main content: 341
Illustrations
- Other: Num. figs.
Keywords: Nevanlinna-Theorie; Komplexe Differentialgleichung

eBook

Published: June 1, 2011
ISBN: 9783110863147

Hardcover

Published: December 1, 1992
ISBN: 9783110134223