Hi! Help me please with this one.

Let's $\displaystyle f(z)$ be an entire function

and $\displaystyle Re f(z)\geq 0$for all $\displaystyle z$

Prove that $\displaystyle f$ is constant.

Thanks.

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- Nov 6th 2011, 12:27 AMsinichkoComplex Analysis
Hi! Help me please with this one.

Let's $\displaystyle f(z)$ be an entire function

and $\displaystyle Re f(z)\geq 0$for all $\displaystyle z$

Prove that $\displaystyle f$ is constant.

Thanks. - Nov 6th 2011, 01:23 AMOpalgRe: Complex Analysis
- Nov 8th 2011, 07:42 AMsinichkoRe: Complex Analysis
- Nov 8th 2011, 08:40 AMOpalgRe: Complex Analysis
- Nov 8th 2011, 09:53 AMsinichkoRe: Complex Analysis
- Nov 8th 2011, 10:36 AMOpalgRe: Complex Analysis
- Nov 8th 2011, 11:07 AMsinichkoRe: Complex Analysis
- Nov 8th 2011, 11:46 AMOpalgRe: Complex Analysis