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hermite
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical analysis as Gaussian quadrature; in finite element methods as Shape Functions for beams; and in physics, where they give rise to the eigenstates of the quantum harmonic oscillator. They are also used in systems theory in connection with nonlinear operations on Gaussian noise.
Evaluates the Hermite polynomial of some order n at the given point z in C.
Argument n
Scalar
Argument z
Scalar
Returns 1. entry
Scalar
hermite(2, 1.5)
Evaluates the Hermite polynomial of order 2 at the point z = 1.5.
Evaluates the Hermite polynomial of some order n at the given points of the matrix Z in C.
Argument n
Scalar
Argument Z
Matrix
Returns 1. entry
Matrix
hermite(3, [0, 0.5, 1.0 1.5])
Evaluates the Hermite polynomial of order 3 at the points z = 0, 0.5, 1.0 and 1.5.