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Groups > comp.soft-sys.math.maple > #342

Re: Series Summation Question

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Am 28.01.2012 20:21, schrieb Axel Vogt:
> On 27.01.2012 07:55, Peter Pein wrote:
> ....
>>
>> Sorry for posting too fast. One gets the result in a more simple form
>> by doing sth. more complicated:
>>
>> In[1]:= f[q_] = q^(-6 + 4*n)/(1 - q^(-5 + 4*n));
>> assum = SumConvergence[f[q], n]
>> s[q_] = Together[Subtract @@ (Limit[Sum[f[q], n], n -> #1, Assumptions
>> -> assum] & ) /@ {Infinity, 0}]
>> N[s[1/10]]
>>
>>
>> Out[2]= q != 0 && Abs[q]^4 < 1
>> Out[3]= (Log[1 - q^4] + QPolyGamma[0, -(Log[q^5]/Log[q^4]),
>> q^4])/(q*Log[q^4])
>> Out[4]= -21.1012
>
> I am not aware that Maple has a command to find a
> condition for convergence.
>
> And it does not provide a symbolic solution (where
> I guess the above cryptic command does just that)

yes, see: http://reference.wolfram.com/mathematica/ref/QPolyGamma.html
and/or
http://mathworld.wolfram.com/q-PolygammaFunction.html

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Series Summation Question clashton <clashton@gmail.com> - 2012-01-25 22:46 -0800
  Re: Series Summation Question Axel Vogt <&noreply@axelvogt.de> - 2012-01-26 19:41 +0100
  Re: Series Summation Question Joe Riel <joer@san.rr.com> - 2012-01-26 08:21 -0800
    Re: Series Summation Question clashton <clashton@gmail.com> - 2012-01-26 16:45 -0800
      Re: Series Summation Question Peter Pein <petsie@dordos.net> - 2012-01-27 07:31 +0100
        Re: Series Summation Question Peter Pein <petsie@dordos.net> - 2012-01-27 07:55 +0100
          Re: Series Summation Question clashton <clashton@gmail.com> - 2012-01-28 07:59 -0800
          Re: Series Summation Question Axel Vogt <&noreply@axelvogt.de> - 2012-01-28 20:21 +0100
            Re: Series Summation Question Peter Pein <petsie@dordos.net> - 2012-02-02 12:21 +0100

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