Hermite Series, “Physicists”

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

Constants

hermdomain	Hermite domain.
hermzero	Hermite coefficients representing zero.
hermone	Hermite coefficients representing one.
hermx	Hermite coefficients representing the identity x.

Arithmetic

hermadd(c1, c2)	Add one Hermite series to another.
hermsub(c1, c2)	Subtract one Hermite series from another.
hermmulx(c[, mode])	Multiply a Hermite series by x.
hermmul(c1, c2[, mode])	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 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.

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.
hermnorm(n)	Norm of nth Hermite polynomial.
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.