scipy.special.y0¶

scipy.special.y0(x) = <ufunc 'y0'>

Bessel function of the second kind of order 0.

Parameters: x : array_like Argument (float). Y : ndarray Value of the Bessel function of the second kind of order 0 at x.

j0, yv

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 [R473] routine y0.

References

 [R473] (1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

scipy.special.j1

scipy.special.y1