Re: Re: Searching list for closest match to p
- To: mathgroup at smc.vnet.net
- Subject: [mg79593] Re: Re: Searching list for closest match to p
- From: chuck009 <dmilioto at comcast.com>
- Date: Mon, 30 Jul 2007 06:47:55 -0400 (EDT)
Nice to see some of you interested in Complex Analysis as I am; I've always felt getting it wrong is sometimes part of getting it right. :) Thanks for setting me straight. > > The OP statement of Jentzsch theorem was indeed > inexact (as pointed > out already by Daniel Lichtblau). The theorem says > that for any power > series in the complex plane, any point on the > boundary of the disc of > convergence is a limit of zero's of partial sums. > > There is a proof in the classic book of Titchmarsch > "The Theory of > Functions" (section 7.8). > > Andrzej Kozlowski >