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Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
HermitePoly(N: INT, X: RINGELEM): RINGELEM
HermitePoly2(N: INT, X: RINGELEM): RINGELEM |
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.
/**/ use R ::= QQ[x];
/**/ HermitePoly(3,x);
8*x^3 -12*x
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