
Re: power series problem
Posted:
Mar 21, 2012 7:41 AM


On Mar 21, 7:01 am, Tonico <Tonic...@yahoo.com> wrote: > On Mar 21, 4:09 am, Robert Adams <robert.ad...@analog.com> wrote: > > > Hello > > > I am stuck trying to find an expansion for > > > f(x) = exp(i*x*log(x)) > > > i = sqrt(1), valid for x > 0 (hopefully!). > > > Any ideas? > > > Thanks! > > > Bob > > As x is real, x logx is real, and thus f(x) = cos(x logx) + isin(x > logx) . You can now expand these two functions but not around x = 0, > as you'll have a problem with log(x) in spite the fact that x logx > > 0 when x > 0+. > > Tonio
Thanks, this helps.
Bob

