Let f=u+iv be an entire function . if RE(f) has a lower bound [i.e there is $\displaystyle Uo \in R<S.T> U(x,y) \geq Uo for> all (x,y) \in C $
then prove that f must be constant
Here...
http://en.wikipedia.org/wiki/Liouvil...plex_analysis)
Kind regards
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