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krindik
09/14/10 5:44pm

Hi,
I'm quite novice to Mathemetica.

I wonder why the following doesn't give the same result

N[PolyLog[3, 1 + 1 I]]
= 0.871159 + 1.26708 I

and its explicit summation according to the polylog definition
i.e sum_{m=1}^Infinity{(1 + 1 I)^m/m^3 }
Sum::div: Sum does not converge
= ComplexInfinity


I'm just trying to find out approximately how many terms are required to approximate the polylog, so expected the above two forms to give the same answer


Really appreciate your help.

Regards,
Krindik

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Subject (listing for 'Polylog vs explicit summation')
Author Date Posted
Polylog vs explicit summation krindik 09/14/10 5:44pm
Re: Polylog vs explicit summation yehuda ben-s... 09/15/10 00:27am
Re: Re: Polylog vs explicit summation krindik 09/15/10 6:47pm
Re: Re: Re: Polylog vs explicit summation yehuda ben-s... 09/17/10 9:11pm
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