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ChebyshevPoly

Orthogonal Polynomials: Chebyshev, Hermite, Laguerre

Syntax
ChebyshevPoly(N: INT, X: RINGELEM): RINGELEM
ChebyshevPoly2(N: INT, X: RINGELEM): RINGELEM

Description
The function ChebyshevPoly returns the Chebyshev polynomial (of 1st type) with index N , in the indeterminate X . The function ChebyshevPoly2 returns the Chebyshev polynomial of 2nd type.

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];
/**/  ChebyshevPoly(3,x);
4*x^3 -3*x

See Also