The funcation series arise in the invastigation of a interesting problem. How to find the sum? help in need. Here it is:

the sum is taken over all positive integers .

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- March 9th 2011, 02:38 AMShanksThe sum of function series
The funcation series arise in the invastigation of a interesting problem. How to find the sum? help in need. Here it is:

the sum is taken over all positive integers . - March 9th 2011, 04:47 AMFernandoRevilla
You can use the following result:

If is analytic on except by a finite number of poles ( ) and as then,

You'll obtain where . - March 9th 2011, 08:48 AMShanks
thanks for your help. ha, complex analysis is really powerful.

I think i got it now, I will do it again by myself. Thanks again! - March 9th 2011, 09:08 AMchisigma