vietha
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Hi there,
I am starting with the Bessel functions and have some problems with it. I am getting stuck with this equation. I could not find this kind of integral in the handbooks.
1. \int_0^aJ_0^2(bx)dx
Besides of this, I have other equations in similar form but I think this integral is the key to solve others:
2. \int_0^\infty J_0^2(bx)e^{-\frac{x}{c}}dx
3. \int_0^\infty J_0^2(bx)e^{-\frac{x^2}{c}}dx
3. \int_0^\infty J_0^2(bx)\frac{x}{c}dx
Please help me. It is highly appriciated.
I am starting with the Bessel functions and have some problems with it. I am getting stuck with this equation. I could not find this kind of integral in the handbooks.
1. \int_0^aJ_0^2(bx)dx
Besides of this, I have other equations in similar form but I think this integral is the key to solve others:
2. \int_0^\infty J_0^2(bx)e^{-\frac{x}{c}}dx
3. \int_0^\infty J_0^2(bx)e^{-\frac{x^2}{c}}dx
3. \int_0^\infty J_0^2(bx)\frac{x}{c}dx
Please help me. It is highly appriciated.