Category:Definitions/Order of Entire Function

This category contains definitions related to Order of Entire Function.
Related results can be found in Category:Order of Entire Function.

The order $\alpha \in \closedint 0 {+\infty}$ of $f$ is the infimum of the $\beta \ge 0$ for which:

$\map f z = \map \OO {\map \exp {\size z^\beta} }$

or $\infty$ if no such $\beta$ exists, where $\OO$ denotes big-$\OO$ notation.