Re: Searching list for closest match to p
- To: mathgroup at smc.vnet.net
- Subject: [mg79545] Re: Searching list for closest match to p
- From: chuck009 <dmilioto at comcast.com>
- Date: Sun, 29 Jul 2007 00:05:48 -0400 (EDT)
Yes Peter, I don't have it correctly. I can't follow the proof either although I haven't looked at Titchmarch's proof below. Daniel stated it as such: "Corrected wording is that the collection of zeros of partial sums converge to all values on the unit disk (note juxtaposition vs. "all converge to")." Here's a reference for the proof. Another proof can be found in Titchmarch's "Theory of Functions" I am told: http://www.pubmedcentral.nih.gov/picrender.fcgi?artid=1063012&blobtype=pdf > > > Dear Chuck, > > maybe you formulated inexact. > > I do not have Jentzsch's theorem at hand, but it > would intuitively make > more sense to me if: Let f be analytic *on C*. Then > the zeros of the > partial sums of the Taylor series of f all converge > to values on the > unit *circle*. >