Is there a general formula for the following definite integral:
$\int^{a}_{b}J_m(\lambda_{mi}x)x^ndx=?$
Where n and m are arbitrary natural numbers and $\lambda_{mi}$ is i-th zero of m-th Bessel function $J_m$ and integration interval is $[a,b]\subset[0,1]$.
If it exists, please show how it is derived.
2026-03-28 01:35:16.1774661716
Definite integrals involving the product of arbitrary Bessel function and arbitrary power of x
50 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INTEGRATION
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