16 Apr
2014
16 Apr
'14
6:20 p.m.
Bernie, Abel, Borel, Cesaro, and other methods for assigning a number to a series do not ever make a divergent series convergent. They do assign a number to a series that for convergent series is its sum, so can be thought of as an extension of ordinary convergence. --Dan On Apr 16, 2014, at 3:12 PM, Mike Stay <metaweta@gmail.com> wrote:
There are various summation methods, like Abel, Borel, and Cesaro. There's also analytic continuation.
On Wed, Apr 16, 2014 at 12:10 PM, Bernie Cosell <bernie@fantasyfarm.com> wrote:
. . . Are there some kind of [non algebraic?] extensions/definitions of 'sum' that are generally accepted for determining the "sums" of series that would appear not to have one.