Laguerre Series

This module provides a number of functions useful for dealing with Laguerre series.

Constants

lagdomain

Laguerre domain.

lagzero

Laguerre coefficients representing zero.

lagone

Laguerre coefficients representing one.

lagx

Laguerre coefficients representing the identity x.

Arithmetic

lagadd(c1, c2)

Add one Laguerre series to another.

lagsub(c1, c2)

Subtract one Laguerre series from another.

lagmulx(c[, mode])

Multiply a Laguerre series by x.

lagmul(c1, c2[, mode])

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.

lagnorm(n)

Norm of nth Laguerre polynomial.

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.