Laguerre Module (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).
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