anonymous
  • anonymous
Can anybody help, An entire function takes all its values on the imaginary axis. Prove that it is a constant function.
Mathematics
jamiebookeater
  • jamiebookeater
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Owlfred
  • Owlfred
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anonymous
  • anonymous
\[f(x) = (x^2 + x + 1)i\] This function takes all its values on the imaginary axis, is it a constant function?
anonymous
  • anonymous
huaaa i dont know

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anonymous
  • anonymous
I guess it is based on Liouville's theorem.. but the theorem is for every bounded entire function. so..

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