# complex analysis

• August 30th 2010, 01:14 PM
sinichko
complex analysis
Help me please to prove this one:

Let us $f(z)\; and \; z^{5}\ \overline{f}(z)$ both are entire functions.
Prove that $f(z)$ is constant function necessarily.

Thanks
• August 31st 2010, 10:06 AM
Mauritzvdworm
The only way I can see this happening is to show that f is bounded, the result then follows from Liouville's theorem