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SciPy

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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.

See also

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,

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

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