Module « scipy.special »

Fonction y0 - module scipy.special

Signature de la fonction y0

Description

y0.__doc__

y0(x, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

y0(x)

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 :math:`R(x)` is employed to
compute,

.. math::

    Y_0(x) = R(x) + \frac{2 \log(x) J_0(x)}{\pi},

where :math:`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`.

See also
--------
j0
yv

References
----------
.. [1] Cephes Mathematical Functions Library,
       http://www.netlib.org/cephes/