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# Hermite Series, “Physicists” (`numpy.polynomial.hermite`)

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`).

## Classes

`Hermite`(coef[, domain, window, symbol]) | A Hermite series class.

## Constants

`hermdomain` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)
`hermzero` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)
`hermone` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)
`hermx` | ndarray(shape, dtype=None, buffer=None, offset=0, strides=None, order=None)

## Arithmetic

`hermadd`(c1, c2) | Add one Hermite series to another.
`hermsub`(c1, c2) | Subtract one Hermite series from another.
`hermmulx`(c) | Multiply a Hermite series by x.
`hermmul`(c1, c2) | Multiply one Hermite series by another.
`hermdiv`(c1, c2) | Divide one Hermite series by another.
`hermpow`(c, pow[, maxpower]) | Raise a Hermite series to a power.
`hermval`(x, c[, tensor]) | Evaluate a 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.

## Calculus

`hermder`(c[, m, scl, axis]) | Differentiate a Hermite series.
`hermint`(c[, m, k, lbnd, scl, axis]) | Integrate a Hermite series.

## Misc Functions

`hermfromroots`(roots) | Generate a Hermite series with given roots.
`hermroots`(c) | Compute the roots of a Hermite series.
`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.
`hermgauss`(deg) | Gauss-Hermite quadrature.
`hermweight`(x) | Weight function of the Hermite polynomials.
`hermcompanion`(c) | Return the scaled companion matrix of c.
`hermfit`(x, y, deg[, rcond, full, w]) | Least squares fit of Hermite series to data.
`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.

## See also

`numpy.polynomial`