# Talk:Entire function

## Missed section

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.

J. E. Littlewood chose the Weierstrass sigma function as a 'typical' entire function in one of his books.