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scipy.special.besselpoly

scipy.special.besselpoly(a, lmb, nu, out=None) = <ufunc 'besselpoly'>

Weighted integral of the Bessel function of the first kind.

Computes

$$\int_0^1 x^\lambda J_\nu(2 a x) \, dx$$

where $J_\nu$ is a Bessel function and $\lambda=lmb$, $\nu=nu$.

Parameters

aarray_like

Scale factor inside the Bessel function.

lmbarray_like

Power of x

nuarray_like

Order of the Bessel function.

outndarray, optional

Optional output array for the function results.

Returns

scalar or ndarray

Value of the integral.