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Is it true that if $f$ is entire with a non dense image then it is constant? Can anybody help with the proof? Or give a counter example. Thank you

Adil
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    the same as http://math.stackexchange.com/questions/337154/how-to-show-image-of-a-non-constant-entire-function-is-dense-in-mathbbc – Alexander Grothendieck Nov 24 '13 at 16:24
  • Another equivalent question: http://math.stackexchange.com/questions/133098/proving-an-entire-function-which-misses-a-ball-is-constant?rq=1 – Spenser Nov 24 '13 at 16:25

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