# Tagged Questions

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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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I am currently working on a problem that may be interpreted as recovering an unknown function from its Radon transform. Unfortunately I don't have any background in Radon transform, but need to ...
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### Laplace transform of : $t^{\gamma-1} F(\alpha,\beta,\delta,t)$, where $F$ is the Gauss' hypergeometric function

What is the Laplace transform of : $t^{\gamma-1} F(\alpha,\beta,\delta,t)$, where $\gamma >0$ and $F$ is the Gauss' hypergeometric function. Thanks!
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### Mellin transform of time-shifted function

The Mellin transform of a function $f(x)$ can be written as $$\mathcal M[f(x);z]=\int_0^\infty f(x)x^{z-1} dx$$ Is there a simple expression for the Mellin transform of the function $f(x-x_0)$? ...
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### Using the Mellin transform to invert ill-posed problems of harmonic transforms

I will try to explain the problem using just words. Let's see how far I get! I will use the harmonic transform of the Radon transform for 2 or more dimensions as an example, but there is a large ...