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.


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.


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.


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


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.


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


hermecompanion(c) Return the scaled companion matrix of c.
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.