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.