Hermite Module, “Physicists’” (numpy.polynomial.hermite)
This module provides a number of objects (mostly functions) useful for dealing with Hermite series, including a Hermite 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).
Hermite Class
Hermite(coef[, domain, window]) | An Hermite series class. |
Basics
hermval(x, c[, tensor]) | Evaluate an Hermite series at points x. |
hermval2d(x, y, c) | Evaluate a 2-D Hermite series at points (x, y). |
hermval3d(x, y, z, c) | Evaluate a 3-D Hermite series at points (x, y, z). |
hermgrid2d(x, y, c) | Evaluate a 2-D Hermite series on the Cartesian product of x and y. |
hermgrid3d(x, y, z, c) | Evaluate a 3-D Hermite series on the Cartesian product of x, y, and z. |
hermroots(c) | Compute the roots of a Hermite series. |
hermfromroots(roots) | Generate a Hermite series with given roots. |
Fitting
hermfit(x, y, deg[, rcond, full, w]) | Least squares fit of Hermite series to data. |
hermvander(x, deg) | Pseudo-Vandermonde matrix of given degree. |
hermvander2d(x, y, deg) | Pseudo-Vandermonde matrix of given degrees. |
hermvander3d(x, y, z, deg) | Pseudo-Vandermonde matrix of given degrees. |
Calculus
hermder(c[, m, scl, axis]) | Differentiate a Hermite series. |
hermint(c[, m, k, lbnd, scl, axis]) | Integrate a Hermite series. |
Algebra
hermadd(c1, c2) | Add one Hermite series to another. |
hermsub(c1, c2) | Subtract one Hermite series from another. |
hermmul(c1, c2) | Multiply one Hermite series by another. |
hermmulx(c) | Multiply a Hermite series by x. |
hermdiv(c1, c2) | Divide one Hermite series by another. |
hermpow(c, pow[, maxpower]) | Raise a Hermite series to a power. |
Quadrature
hermgauss(deg) | Gauss-Hermite quadrature. |
hermweight(x) | Weight function of the Hermite polynomials. |
Miscellaneous