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 Nov 12 awarded Necromancer Oct 21 awarded Yearling Oct 21 awarded Nice Question Jun 6 awarded Tumbleweed May 30 asked Non-trivial integral with the Bose-Einstein distribution and Cosine function Nov 3 awarded Nice Answer Oct 16 awarded Necromancer Jan 11 comment Transforming a sum into an integral Hi...there are several exponential in the numerator! When we trasform in polar coordinates they gives term like $cos^2(\theta)$ Jan 8 comment Transforming a sum into an integral I remember that the result is $$\frac{{E_2 }}{{E_0 }} = \frac{{16\pi a^2 \lambda ^2 }}{{V^2 }}\left( {\frac{{4V^3 }}{{\pi ^3 \lambda ^5 }}} \right)\sum\limits_{i,j,k}^\infty {\frac{{z^{j + k + l} }}{{\left( {j + k + l} \right)^{1/2} \left( {j - k} \right)l}}} \frac{{\partial J}}{{\partial u}}$$. Your evaluation doens't take care of this complexity of the result. I don't think it's soo easy. I understand how to change to polar coordinates, i don't have problemas with this point. I don't think H is theta indipendent! Jan 6 comment Transforming a sum into an integral The result is very difficul to write, i don't think it's soo easy to get it. I tried to use polar coordinates but i don't know how to integrate! Dec 27 comment Transforming a sum into an integral Sorry i respond you soo late.Can you give me the calculations??? Sep 19 answered Transforming a sum into an integral Sep 19 awarded Teacher Sep 19 answered Derivation of Maxwell's equations from field tensor lagrangian Sep 18 revised Transforming a sum into an integral edited tags Sep 14 answered Fourier transform of the Coulomb potential Sep 13 awarded Student Sep 13 awarded Editor Sep 13 revised Transforming a sum into an integral added 14 characters in body Sep 13 asked Transforming a sum into an integral