Thread: Complex Analysis an entire function

Help me please with this one:

Let be an entire function and:

.
Prove that is constant.

Thanks!

if f(z) is entire, so does f(2z)-f(z)

Originally Posted by xxp9

if f(z) is entire, so does f(2z)-f(z)

Thanks, but how to prove it?

Originally Posted by sinichko

Thanks, but how to prove it?

dONE, THANKS!