# Hermite Module, “Physicists’” (numpy.polynomial.hermite)¶

New in version 1.6.0.

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.

 hermgauss(deg) Gauss-Hermite quadrature. hermweight(x) Weight function of the Hermite polynomials.

## Miscellaneous¶

 hermcompanion(c) Return the scaled companion matrix of c. hermdomain hermzero hermone hermx 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.