Suppose that Ω is a domain in $C^n, E \subset \Omega$ is closed in Ω, and $f: \Omega\backslash E \rightarrow \mathbf{C}^\ast$ is a meromorphic function. We show ...

Liouvillian functions are functions that are built up from rational functions using exponentiation, integration, and algebraic functions. We show that if a system of differential equations has a ...