Most of wikilinks are red... a lot of background articles should be written to make it usable. I did not copy the section about the order, because I think that it should be independent article; I just repeat it below: Dmitrii Kouznetsov 00:27, 17 May 2008 (CDT)
The order of an entire function is defined using the limit superior as:
where is the distance from and is the maximum absolute value of when If one can also define the type:
Note that an entire function may have a singularity or even an essential singularity at the complex point at infinity. In the latter case, it is called a transcendental entire function. As a consequence of Liouville's theorem, a function which is entire on the whole Riemann sphere (complex plane and the point at infinity) is constant.