Is this question incomplete? Regarding entire functions....

[Terrell]

Homework Statement

Let $F$ be an entire function such that $\exists$ positve constants $c$ and $d$ where $\vert f(z)\vert \leq c+d\vert z\vert^n, \forall z\in \Bbb{C}$.

Is this question incomplete? My complex analysis course is not rigorous at all and this came up on a past final exam. Can anyone help me piece this question together? Or tell me what it could possibly be asking? Thanks.

Homework Equations

Hints: Use Cauchy's Inequality and Maclaurin Series of $f$.

The Attempt at a Solution

 

[Dick]

Homework Statement

Let $F$ be an entire function such that $\exists$ positve constants $c$ and $d$ where $\vert f(z)\vert \leq c+d\vert z\vert^n, \forall z\in \Bbb{C}$.

Is this question incomplete? My complex analysis course is not rigorous at all and this came up on a past final exam. Can anyone help me piece this question together? Or tell me what it could possibly be asking? Thanks.

Homework Equations

Hints: Use Cauchy's Inequality and Maclaurin Series of $f$.

The Attempt at a Solution

I'd guess they probably want you to show that $f(z)$ is a polynomial.