This is documentation for an old release of SciPy (version 0.18.1). Read this page in the documentation of the latest stable release (version 1.15.1).
scipy.special.y0¶
- scipy.special.y0(x) = <ufunc 'y0'>¶
Bessel function of the second kind of order 0.
Parameters: x : array_like
Argument (float).
Returns: Y : ndarray
Value of the Bessel function of the second kind of order 0 at x.
Notes
The domain is divided into the intervals [0, 5] and (5, infinity). In the first interval a rational approximation R(x) is employed to compute,
Y0(x)=R(x)+2log(x)J0(x)π,where J0 is the Bessel function of the first kind of order 0.
In the second interval, the Hankel asymptotic expansion is employed with two rational functions of degree 6/6 and 7/7.
This function is a wrapper for the Cephes [R474] routine y0.
References
[R474] (1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html