### Table Of Contents

- Laguerre Module (`numpy.polynomial.laguerre`)
  - Laguerre Class
  - Basics
  - Fitting
  - Calculus
  - Algebra
  - Quadrature
  - Miscellaneous

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# 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.
`lagroots`(c) | 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.
`lagmulx`(c) | 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.

## Quadrature

`laggauss`(deg) | Gauss-Laguerre quadrature.
`lagweight`(x) | Weight function of the Laguerre polynomials.

## Miscellaneous

`lagcompanion`(c) | 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.
`lag2poly`(c) | Convert a Laguerre series to a polynomial.
`poly2lag`(pol) | Convert a polynomial to a Laguerre series.