# 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.

## Quadrature¶

 `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.

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