Ebook: 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 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.