scipy.special.eval_laguerre

scipy.special.eval_laguerre(n, x, out=None) = <ufunc 'eval_laguerre'>

Evaluate Laguerre polynomial at a point.

The Laguerre polynomials can be defined via the confluent hypergeometric function \({}_1F_1\) as

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

When \(n\) is an integer the result is a polynomial of degree \(n\).

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