### Table Of Contents

- Hermite Module, “Physicists’” (`numpy.polynomial.hermite`)
  - Hermite Class
  - Basics
  - Fitting
  - Calculus
  - Algebra
  - Quadrature
  - Miscellaneous

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numpy.polynomial.hermite.Hermite

# 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.