### Table Of Contents

- HermiteE Module, “Probabilists’” (`numpy.polynomial.hermite_e`)
  - HermiteE Class
  - Basics
  - Fitting
  - Calculus
  - Algebra
  - Quadrature
  - Miscellaneous

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numpy.polynomial.hermite_e.HermiteE

# HermiteE Module, “Probabilists’” (`numpy.polynomial.hermite_e`)

New in version 1.6.0.

This module provides a number of objects (mostly functions) useful for dealing with HermiteE series, including a `HermiteE` 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`).

## HermiteE Class

`HermiteE`(coef[, domain, window]) | An HermiteE series class.

## Basics

`hermeval`(x, c[, tensor]) | Evaluate an HermiteE series at points x.
`hermeval2d`(x, y, c) | Evaluate a 2-D HermiteE series at points (x, y).
`hermeval3d`(x, y, z, c) | Evaluate a 3-D Hermite_e series at points (x, y, z).
`hermegrid2d`(x, y, c) | Evaluate a 2-D HermiteE series on the Cartesian product of x and y.
`hermegrid3d`(x, y, z, c) | Evaluate a 3-D HermiteE series on the Cartesian product of x, y, and z.
`hermeroots`(c) | Compute the roots of a HermiteE series.
`hermefromroots`(roots) | Generate a HermiteE series with given roots.

## Fitting

`hermefit`(x, y, deg[, rcond, full, w]) | Least squares fit of Hermite series to data.
`hermevander`(x, deg) | Pseudo-Vandermonde matrix of given degree.
`hermevander2d`(x, y, deg) | Pseudo-Vandermonde matrix of given degrees.
`hermevander3d`(x, y, z, deg) | Pseudo-Vandermonde matrix of given degrees.

## Calculus

`hermeder`(c[, m, scl, axis]) | Differentiate a Hermite_e series.
`hermeint`(c[, m, k, lbnd, scl, axis]) | Integrate a Hermite_e series.

## Algebra

`hermeadd`(c1, c2) | Add one Hermite series to another.
`hermesub`(c1, c2) | Subtract one Hermite series from another.
`hermemul`(c1, c2) | Multiply one Hermite series by another.
`hermemulx`(c) | Multiply a Hermite series by x.
`hermediv`(c1, c2) | Divide one Hermite series by another.
`hermepow`(c, pow[, maxpower]) | Raise a Hermite series to a power.

## Quadrature

`hermegauss`(deg) | Gauss-HermiteE quadrature.
`hermeweight`(x) | Weight function of the Hermite_e polynomials.

## Miscellaneous

`hermecompanion`(c) | Return the scaled companion matrix of c.
`hermedomain` |
`hermezero` |
`hermeone` |
`hermex` |
`hermetrim`(c[, tol]) | Remove “small” “trailing” coefficients from a polynomial.
`hermeline`(off, scl) | Hermite series whose graph is a straight line.
`herme2poly`(c) | Convert a Hermite series to a polynomial.
`poly2herme`(pol) | Convert a polynomial to a Hermite series.