# Hermite Module, “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`

).

## 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