Definition:Schwarz Function

Definition

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

$f$ is a Schwarz function if and only if:

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

where:

$f^{\paren n}$ denotes the $n$th derivative

$\oo$ is the little-$\oo$ notation.

Also see

• Results about Schwarz functions can be found here.

Source of Name

This entry was named for Karl Hermann Amandus Schwarz.