This is documentation for an old release of NumPy (version 1.19). Read this page Search for this page in the documentation of the latest stable release (version 2.2).

New in version 1.6.0.

Hermite Series, “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).

Classes

Hermite(coef[, domain, window])

An Hermite series class.

Constants

hermdomain
hermzero
hermone
hermx

Arithmetic

hermadd(c1, c2)	Add one Hermite series to another.
hermsub(c1, c2)	Subtract one Hermite series from another.
hermmulx(c)	Multiply a Hermite series by x.
hermmul(c1, c2)	Multiply one Hermite series by another.
hermdiv(c1, c2)	Divide one Hermite series by another.
hermpow(c, pow[, maxpower])	Raise a Hermite series to a power.
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.

Calculus

hermder(c[, m, scl, axis])	Differentiate a Hermite series.
hermint(c[, m, k, lbnd, scl, axis])	Integrate a Hermite series.

Misc Functions

hermfromroots(roots)	Generate a Hermite series with given roots.
hermroots(c)	Compute the roots of a Hermite series.
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.
hermgauss(deg)	Gauss-Hermite quadrature.
hermweight(x)	Weight function of the Hermite polynomials.
hermcompanion(c)	Return the scaled companion matrix of c.
hermfit(x, y, deg[, rcond, full, w])	Least squares fit of Hermite series to data.
hermtrim(c[, tol])	Remove “small” “trailing” coefficients from a polynomial.
hermline(off, scl)	Hermite series whose graph is a straight line.
herm2poly(c)	Convert a Hermite series to a polynomial.
poly2herm(pol)	Convert a polynomial to a Hermite series.

See also

numpy.polynomial