Complex Analysis: Entire function dominated by another entire function

[michael.wes]

Homework Statement

If f,g are entire functions and |f(z)| <= |g(z)| for all z, draw some conclusions about the relationship between f and g

Homework Equations

none

The Attempt at a Solution

I just need a push in the right direction.. thanks for any and all help!

 

[Gib Z]

Do you know Louiville's Theorem?

 

[michael.wes]

Do you know Louiville's Theorem?

Thanks, I got it now :)