Definition:Schwarz Function
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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.