Nevanlinna theory and complex differential equations

Ilpo Laine3110134225, 9783110134223

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 case; complex differential equations and the Schwarzian derivative; Malmquist- Yosida-Steinmetz type theorems; first order, second order, and arbitrary order algebraic differential equations; and differential fields.