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# 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. 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. 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.

 `hermegauss`(deg) Gauss-HermiteE quadrature. Weight function of the Hermite_e polynomials.
 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. Convert a Hermite series to a polynomial. `poly2herme`(pol) Convert a polynomial to a Hermite series.