up previous next
HermitePoly

Orthogonal Polynomials: Chebyshev, Hermite, Laguerre

Syntax
HermitePoly(N: INT, X: RINGELEM): RINGELEM
HermitePoly2(N: INT, X: RINGELEM): RINGELEM

Description
The function HermitePoly returns the N -th Hermite polynomial (as used in physics); the function HermitePoly2 returns the N -th Hermite polynomial (as used in probability).

These functions also work if X is not an indeterminate: the result is then the evaluation of the polynomial at the given value.

Example
/**/  use R ::= QQ[x];
/**/  HermitePoly(3,x);
8*x^3 -12*x

See Also