#### Previous topic

numpy.polynomial.legendre.poly2leg

#### Next topic

numpy.polynomial.laguerre.Laguerre

# Laguerre Module (`numpy.polynomial.laguerre`)¶

New in version 1.6.0.

This module provides a number of objects (mostly functions) useful for dealing with Laguerre series, including a `Laguerre` class that encapsulates the usual arithmetic operations. (General information on how this module represents and works with such polynomials is in the docstring for its “parent” sub-package, `numpy.polynomial`).

## Laguerre Class¶

 `Laguerre`(coef[, domain, window]) A Laguerre series class.

## Basics¶

 `lagval`(x, c[, tensor]) Evaluate a Laguerre series at points x. `lagval2d`(x, y, c) Evaluate a 2-D Laguerre series at points (x, y). `lagval3d`(x, y, z, c) Evaluate a 3-D Laguerre series at points (x, y, z). `laggrid2d`(x, y, c) Evaluate a 2-D Laguerre series on the Cartesian product of x and y. `laggrid3d`(x, y, z, c) Evaluate a 3-D Laguerre series on the Cartesian product of x, y, and z. Compute the roots of a Laguerre series. `lagfromroots`(roots) Generate a Laguerre series with given roots.

## Fitting¶

 `lagfit`(x, y, deg[, rcond, full, w]) Least squares fit of Laguerre series to data. `lagvander`(x, deg) Pseudo-Vandermonde matrix of given degree. `lagvander2d`(x, y, deg) Pseudo-Vandermonde matrix of given degrees. `lagvander3d`(x, y, z, deg) Pseudo-Vandermonde matrix of given degrees.

## Calculus¶

 `lagder`(c[, m, scl, axis]) Differentiate a Laguerre series. `lagint`(c[, m, k, lbnd, scl, axis]) Integrate a Laguerre series.

## Algebra¶

 `lagadd`(c1, c2) Add one Laguerre series to another. `lagsub`(c1, c2) Subtract one Laguerre series from another. `lagmul`(c1, c2) Multiply one Laguerre series by another. Multiply a Laguerre series by x. `lagdiv`(c1, c2) Divide one Laguerre series by another. `lagpow`(c, pow[, maxpower]) Raise a Laguerre series to a power.

 `laggauss`(deg) Gauss-Laguerre quadrature. Weight function of the Laguerre polynomials.
 Return the companion matrix of c. `lagdomain` `lagzero` `lagone` `lagx` `lagtrim`(c[, tol]) Remove “small” “trailing” coefficients from a polynomial. `lagline`(off, scl) Laguerre series whose graph is a straight line. Convert a Laguerre series to a polynomial. `poly2lag`(pol) Convert a polynomial to a Laguerre series.