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Fonction eval_sh_legendre - module scipy.special

Signature de la fonction eval_sh_legendre

Description

eval_sh_legendre.__doc__

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

eval_sh_legendre(n, x, out=None)

Evaluate shifted Legendre polynomial at a point.

These polynomials are defined as

.. math::

    P_n^*(x) = P_n(2x - 1)

where :math:`P_n` is a Legendre polynomial. See 2.2.11 in [AS]_
for details.

Parameters
----------
n : array_like
    Degree of the polynomial. If not an integer, the value is
    determined via the relation to `eval_legendre`.
x : array_like
    Points at which to evaluate the shifted Legendre polynomial

Returns
-------
P : ndarray
    Values of the shifted Legendre polynomial

See Also
--------
roots_sh_legendre : roots and quadrature weights of shifted
                    Legendre polynomials
sh_legendre : shifted Legendre polynomial object
eval_legendre : evaluate Legendre polynomials
numpy.polynomial.legendre.Legendre : Legendre series

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