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[tex]\int \frac{\rho^4 \sin^3{\theta} d \rho d \theta e^{i \rho r \cos{\theta}}}{(2 \pi)^2 [K^2 + \rho^2]}[/tex]

I am confused about where the singularities are in this function. Will they simply be at \rho = iK and -ik or does the \rho^4 factor make a difference?

Also the sin^3(\theta) e^(i \rho cos (\theta)) when evaluated on mathematica for example brings in some terms with three different powers of \rho some of which I am afraid will make the function odd in \rho in which case I would struggle with the final contour integration...

Any help suggestions would be much appreciated.

Thanks.

I am confused about where the singularities are in this function. Will they simply be at \rho = iK and -ik or does the \rho^4 factor make a difference?

Also the sin^3(\theta) e^(i \rho cos (\theta)) when evaluated on mathematica for example brings in some terms with three different powers of \rho some of which I am afraid will make the function odd in \rho in which case I would struggle with the final contour integration...

Any help suggestions would be much appreciated.

Thanks.

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