scipy.special.y0¶
- scipy.special.y0(x) = <ufunc 'y0'>¶
Bessel function of the second kind of order 0.
- Parameters
- xarray_like
Argument (float).
- Returns
- Yndarray
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,
\[Y_0(x) = R(x) + \frac{2 \log(x) J_0(x)}{\pi},\]where \(J_0\) 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 [1] routine
y0.References
- 1
Cephes Mathematical Functions Library, http://www.netlib.org/cephes/