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

This module provides a number of objects (mostly functions) useful for dealing with Hermite_e 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`).

## Classes

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

## Constants

`hermedomain` | An array object represents a multidimensional, homogeneous array of fixed-size items.
`hermezero` | An array object represents a multidimensional, homogeneous array of fixed-size items.
`hermeone` | An array object represents a multidimensional, homogeneous array of fixed-size items.
`hermex` | An array object represents a multidimensional, homogeneous array of fixed-size items.

## Arithmetic

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

## Calculus

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

## Misc Functions

`hermefromroots`(roots) | Generate a HermiteE series with given roots.
`hermeroots`(c) | Compute the roots of a HermiteE series.
`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.
`hermegauss`(deg) | Gauss-HermiteE quadrature.
`hermeweight`(x) | Weight function of the Hermite_e polynomials.
`hermecompanion`(c) | Return the scaled companion matrix of c.
`hermefit`(x, y, deg[, rcond, full, w]) | Least squares fit of Hermite series to data.
`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.

## See also

`numpy.polynomial`