Wikipedia:Reference desk/Archives/Mathematics/2016 June 24
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June 24
editIntegral identity
edit
Is this statement true? I numerically integrated the expression and then googled the result (from here), and I don't know how to prove it. 24.255.17.182 (talk) 23:25, 24 June 2016 (UTC)
- One first step is to notice that as the integrand is a symmetric function of (x, y, z) it can be expressed in terms of the power sums si=xi+yi+zi like this
- Bo Jacoby (talk) 00:31, 25 June 2016 (UTC).
- Also, I get that the RHS is 1/1-1/4+1/16-1/25+1/49-1/64+... . This is from the series given in Spence's function. --RDBury (talk) 03:35, 25 June 2016 (UTC)