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Results tagged with integral-transforms
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user 30537
For questions about integral transforms, inlcuding the Fourier transform, Laplace transform, Radon transform, Mellin transform, Hankel transform etc.
0
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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 gettin …
- 173
2
votes
Accepted
Closed form for double integral?
I found the solution from a reference paper, which is: A Double Integral Containing the Modified Bessel Function: Asymptotics and Computation.
http://www.ams.org/journals/mcom/1986-47-176/S0025-5718- …
- 173
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Integral involving exponential and Marcum-Q function
$\begin{array}{l}
I = \int\limits_0^\infty {{e^{ - a{x^2}}}Q\left( {bx,cx} \right)dx} \\
= \sum\limits_{k = 0}^\infty {{{\left( {\frac{b}{c}} \right)}^k}\int\limits_0^\infty {{e^{ - \left( {a + \f …
- 173
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Integral involving exponential and Marcum-Q function
Do you have any suggestions to solve the following integral:
$\int\limits_0^\infty {{e^{ - a{x^2}}}{Q_1}\left( {bx,cx} \right)dx}$
Thank you very much.
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