# Show that this function is entire [duplicate]

Let $f$ be a continuous complex-valued function on $\mathbb{C}$ such that it is analytic everywhere outside $[-a,a] \subset \mathbb{R}$. Show that it is in fact entire.

-

## marked as duplicate by Jonas Meyer, Henry T. Horton, Austin Mohr, rschwieb, 5PM Jan 22 '13 at 2:47

When you say strip, do you mean an actual strip $[-a+it,a+it]$, as $t\in\mathbb R$ varies, or you really want the subset $[-a,a]\subset\mathbb R$? –  M Turgeon Sep 26 '12 at 16:02