scipy.special.j1

scipy.special.j1(x) = <ufunc 'j1'>

Bessel function of the first kind of order 1.

Parameters:

x : array_like

Argument (float).

Returns:

J : 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 [R453] routine j1. It should not to be confused with the spherical Bessel functions (see spherical_jn).

References

[R453]

(1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html