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Graduate Integral of square of Bessel function
Thanks jasonRF for the results. I have that book too. Could you tell me in which parts and pages you found that? I made a mistake with the last one. It should be: \int_0^a J_0^2(bx)\frac{x}{c}dx- vietha
- Post #5
- Forum: Differential Equations
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Graduate Integral of square of Bessel function
Hi g_edgar, Thank you for your reply. I tried with Maple too and I got this: a*hypergeom([1/2, 1/2], [1, 1, 3/2], -a^2*b^2) The equation you got must be the result of this integral: \int _{0}^{a}\! {{\rm J}_0\left(bx\right)}{dx} I have to search for the generalized...- vietha
- Post #3
- Forum: Differential Equations
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Graduate Integral of square of Bessel function
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...- vietha
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- Bessel Bessel function Function Integral Square
- Replies: 5
- Forum: Differential Equations