Laguerre Series (`numpy.polynomial.laguerre`)#

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).

Classes#

Laguerre(coef[, domain, window, symbol])

A Laguerre series class.

Constants#

`lagdomain`	An array object represents a multidimensional, homogeneous array of fixed-size items.
`lagzero`	An array object represents a multidimensional, homogeneous array of fixed-size items.
`lagone`	An array object represents a multidimensional, homogeneous array of fixed-size items.
`lagx`	An array object represents a multidimensional, homogeneous array of fixed-size items.

Arithmetic#

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

Calculus#

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

Misc Functions#

`lagfromroots`(roots)	Generate a Laguerre series with given roots.
`lagroots`(c)	Compute the roots of a Laguerre series.
`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.
`laggauss`(deg)	Gauss-Laguerre quadrature.
`lagweight`(x)	Weight function of the Laguerre polynomials.
`lagcompanion`(c)	Return the companion matrix of c.
`lagfit`(x, y, deg[, rcond, full, w])	Least squares fit of Laguerre series to data.
`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.

See also#

numpy.polynomial