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- Mar 22, 2013
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MarkFL said:When I saw the topic title, I thought you were going to teach us to dance!
I was thinking whether this is solvablePS* : This is called Foxtrot series and that was the thing I was looking for and accedentally found this page of the original comic.
The sum reduces to \(\displaystyle \frac{1}{3} \left (1 - \ln(2) + \pi \sec(\sqrt{3} \pi/2) \right )\)ZaidAlyafey said:I was thinking whether this is solvable
Did you use the digamma function?The sum reduces to \(\displaystyle \frac{1}{3} \left (1 - \ln(2) + \pi \sec(\sqrt{3} \pi/2) \right )\)
I didn't do anything, but yes, there is an application of digamma in the derivation.Did you use the digamma function?
That must be the hyperbolic function , I thought of solving the sum using partial fraction decomposition then solving by residues...The sum reduces to \(\displaystyle \frac{1}{3} \left (1 - \ln(2) + \pi \sec(\sqrt{3} \pi/2) \right )\)
I don't think residues are best method to do this; however, have you been able to use residues?ZaidAlyafey" said:I thought of solving the sum using partial fraction decomposition then solving by residues
Ok, I will post the solution if I can figure that out ..Yes, sorry that sec should be sech.
I don't think residues are best method to do this; however, have you been able to use residues?