Definition:Schwarz Function

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

$f$ is a Schwarz function :


 * $\forall c \in \R, n \in \N_0: \left\vert{f^{\left({n}\right)} \left({x}\right)}\right\vert = o \left({\left\vert{x}\right\vert^c}\right)$

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