Definition:Schwarz Function

Definition
Let $f: \R \to \C$ be a function.

$f$ is a Schwarz function :


 * $\forall c \in \R, n \in \N_0: \size {\map {f^{\paren n} } x} = \map o {\size x^c}$

where:
 * $f^{\paren n}$ denotes the $n$th derivative
 * $o$ is the little-o notation.