HermiteE Series, “Probabilists”

This module provides a number of functions useful for dealing with Hermite_e series.

Constants

hermedomain	HermiteE domain.
hermezero	HermiteE coefficients representing zero.
hermeone	HermiteE coefficients representing one.
hermex	HermiteE coefficients representing the identity x.

Arithmetic

hermeadd(c1, c2)	Add one Hermite series to another.
hermesub(c1, c2)	Subtract one Hermite series from another.
hermemulx(c[, mode])	Multiply a Hermite series by x.
hermemul(c1, c2[, mode])	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.
hermenorm(n)	Norm of nth Hermite_e polynomial.
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.