Let $f$ be an entire non-constant function, such that $f(1-z) = 1 - f(z)$.
Shew that $f({\bf C}) = {\bf C}$
Asked
Active
Viewed 36 times
0
-
1What have you tried? Do you know a theorem about the range of entire non-constant functions? – Ross Millikan Jul 01 '17 at 01:10
-
You are close. There is still a hole in your proof. – Ross Millikan Jul 01 '17 at 01:18
-
1Probably a duplicate of Showing that the image of a function is $\Bbb{C}$ if it satisfies a nice functional equation – sharding4 Jul 01 '17 at 01:41