Region of convergence

From: "I.N. Galidakis" <morpheus@xxxxxxxxxxxx>
Date: Wed, 12 Sep 2007 19:09:46 +0300

Is anyone aware of a convergent series sum(a_n*z^n,n=1..oo) in complex analysis
which has a non-circular region of convergence?

Any shape other than a disk would be acceptable.

My instinct (which is often wrong) tells me that it can't happen, but it never
hurts to ask.

Many thanks,
--
I.N. Galidakis

.

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