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Topic: Asymptotic expansion of a power series.
Replies: 3   Last Post: Jul 9, 1996 6:24 PM

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Eugene Gath

Posts: 9
Registered: 12/12/04
Asymptotic expansion of a power series.
Posted: Jul 8, 1996 9:01 AM
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Here is problem that has been bothering me:

What is the asymptotic behaviour of
f(x) = sum_{n=1}^infinity (x^n)/(n-r),
where r is a (given) large irrational number
and -1<x<1, as an expansion in r ?

Maybe the problem isn't well-posed as r can be
arbitarily close to an integer?

All help appreciated.

Dr. Eugene Gath,_____________________________Phone: +353-61-202196
Department of Mathematics and Statistics,____e-mail: eugene.gath@ul.ie
University of Limerick,______________________Fax: +353-61-334927

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