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Aug 4, 2015 at 23:52 comment added Tom Copeland math.stackexchange.com/questions/892961/…
Aug 4, 2015 at 20:23 vote accept Sridhar Ramesh
Aug 4, 2015 at 18:49 comment added Sergei In the book of Gelfond there is a special chapter on convergence of Newton series.
Aug 4, 2015 at 17:29 comment added Sridhar Ramesh I suppose my example question may boil down to: Is there simple reason by which one could know that the Newton series for $x \mapsto x^p$ based at any point converges to the correct value within a neighborhood of that point?
Jul 29, 2015 at 0:05 comment added Sridhar Ramesh I see the identity mentioned in Jordan's "Calculus of Finite Differences", but there does not seem to me to be much discussion of the conditions under which the identity holds, which is really the question I am interested in. (For example, is there simple reason by which one could know a priori that this identity is indeed valid at all points for all functions of the form $f(x) = x^p$, even for non-natural $p$?)
Jul 28, 2015 at 5:50 history answered Sergei CC BY-SA 3.0