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Asymptotic expansion of a power series.
Posted:
Jul 8, 1996 9:01 AM


Here is problem that has been bothering me:
What is the asymptotic behaviour of f(x) = sum_{n=1}^infinity (x^n)/(nr), where r is a (given) large irrational number and 1<x<1, as an expansion in r ?
Maybe the problem isn't wellposed as r can be arbitarily close to an integer?
All help appreciated. =============================================================
Dr. Eugene Gath,_____________________________Phone: +35361202196 Department of Mathematics and Statistics,____email: eugene.gath@ul.ie University of Limerick,______________________Fax: +35361334927 Limerick, Ireland



