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SciPy

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.y1

scipy.special.y1(x) = <ufunc 'y1'>

Bessel function of the second kind of order 1.

Parameters:

x : array_like

Argument (float).

Returns:

Y : ndarray

Value of the Bessel function of the second kind of order 1 at x.

See also

j1, yn, yv

Notes

The domain is divided into the intervals [0, 8] and (8, infinity). In the first interval a 25 term Chebyshev expansion is used, and computing J1 (the Bessel function of the first kind) is required. 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 [R476] routine y1.

References

[R476](1, 2) Cephes Mathematical Functions Library, http://www.netlib.org/cephes/index.html

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