Module « scipy.special »

Fonction eval_laguerre - module scipy.special

Signature de la fonction eval_laguerre

Description

eval_laguerre.__doc__

eval_laguerre(x1, x2, /, out=None, *, where=True, casting='same_kind', order='K', dtype=None, subok=True[, signature, extobj])

eval_laguerre(n, x, out=None)

Evaluate Laguerre polynomial at a point.

The Laguerre polynomials can be defined via the confluent
hypergeometric function :math:`{}_1F_1` as

.. math::

    L_n(x) = {}_1F_1(-n, 1, x).

See 22.5.16 and 22.5.54 in [AS]_ for details. When :math:`n` is an
integer the result is a polynomial of degree :math:`n`.

Parameters
----------
n : array_like
    Degree of the polynomial. If not an integer the result is
    determined via the relation to the confluent hypergeometric
    function.
x : array_like
    Points at which to evaluate the Laguerre polynomial

Returns
-------
L : ndarray
    Values of the Laguerre polynomial

See Also
--------
roots_laguerre : roots and quadrature weights of Laguerre
                 polynomials
laguerre : Laguerre polynomial object
numpy.polynomial.laguerre.Laguerre : Laguerre series
eval_genlaguerre : evaluate generalized Laguerre polynomials

References
----------
.. [AS] Milton Abramowitz and Irene A. Stegun, eds.
    Handbook of Mathematical Functions with Formulas,
    Graphs, and Mathematical Tables. New York: Dover, 1972.