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Results tagged with fourier-transform
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user 31251
4
votes
1
answer
703
views
Integral solving request
Dear all,
please help me solve the following integral.
I need to solve this integral for one of my problems.
$$(\frac{1}{2\pi})^2\int_0^\infty\int_{-\infty}^\infty \frac{J_0(\rho R_0)J_0(\rho r)L*Si …
2
votes
Integral solving request
I found out an identity:
$$\int_0^\infty\frac{\Phi(x)}{x^2-k^2}J_n(xr)x\operatorname{d}x=\frac{i\pi}{2}\Phi(k)H_n^{(1)}(kr) \text{ -> } Im(k)>0$$
where $H_n$ is Hankel function of the first kind funct …