scipy.special.j1

scipy.special.j1(x, out=None) = <ufunc 'j1'>

Bessel function of the first kind of order 1.

Parameters

xarray_like

Argument (float).

outndarray, optional

Optional output array for the function values

Returns

Jscalar or ndarray

Value of the Bessel function of the first kind of order 1 at x.

See also

jv

spherical_jn

spherical Bessel functions.

Notes

The domain is divided into the intervals [0, 8] and (8, infinity). In the first interval a 24 term Chebyshev expansion is used. In the second, the asymptotic trigonometric representation is employed using two rational functions of degree 5/5.

This function is a wrapper for the Cephes [1] routine j1. It should not be confused with the spherical Bessel functions (see spherical_jn).

References

1

Cephes Mathematical Functions Library, http://www.netlib.org/cephes/