# Closed form for double integral?

I have the following double integral: $\int\limits_0^x {\int\limits_0^y {{e^{ - {K_1}(u + v)}}{I_0}\left( {2{K_1}\sqrt {uv} } \right)dudv} }$ where $K_1$ is a constant. Do you have any ideas of getting a closed form for this integral? Thank you very much.

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What is the function $I_0$? You can get rid of the constant by substitution. –  Jochen Wengenroth Jan 10 '13 at 9:36