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Let $f$ be a continuous complex-valued function on the unit interval. For any complex number $z$, define $F(z)=\int _0 ^1 f(t) e^{zt} dt$.

How do I show that $F$ is entire?

  • 1
    Is $f$ continuous?2012-08-05
  • 0
    yes, it should be. Let me edit that.2012-08-05

3 Answers 3