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.
hermeroots(c)	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.
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.

Quadrature

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

Miscellaneous

hermecompanion(c)	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.
herme2poly(c)	Convert a Hermite series to a polynomial.
poly2herme(pol)	Convert a polynomial to a Hermite series.