I have a series whose terms are: (x^n)/(n+a) where n is a positive integer, x a real number that is greater than 0 and smaller than 1, and a is a real number smaller than 1. It is easy to proof that the series converges, but I cannot find if it is the series expansion of an algebraic function. Can anybody help me? Thank you in advance Marco
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Sum[(x^n)/(n + a), {n, 0, Infinity}, GenerateConditions -> True]
(* ConditionalExpression[HurwitzLerchPhi[x, 1, a], Abs[x] <= 1 && x != 1] *)
answered Dec 12, 2014 at 18:16