\begin{definition}[Definition:Order of Entire Function/Definition 3]
Let $f: \C \to \C$ be an entire function.
Let $f$ be non-constant.
The '''order''' $\alpha \in \closedint 0 {+\infty}$ of $f$ is the limit superior:
:$\ds \limsup_{R \mathop \to \infty} \frac {\ds \ln \ln \max_{\cmod z \mathop \le R} \cmod f} {\ln R}$
The '''order''' of a constant function is $0$.
\end{definition}