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Usage:
chebcoefs(vector(a0,a1,...,an)), a0, a1, ..., an non MISSING REAL
scalars
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Keywords:
expansions, power series, orthogonal polynomials
Usage
Suppose Pn(x) = a0+a1*x+ ... + an*x^n is a polynomial in x of degree
n. Then Pn(x) has a unique expansion, Pn(x) = b0 + b1*T1(x) + ... +
bn*Tn(x), where Tj(x) = the Chebyshev polynomial of degree j defined
for -1 <= x <= 1 as Tj(x) = cos(j*acos(x)).
chebcoefs(vector(a0,a1,...,an)), where a0, a1, ..., an are non MISSING
REAL scalars returns vector(b0,b1,...,bn), where the b's are the
coefficients in the Chebyshev expansion.
Cross reference
See also topic invchebcoefs().
Gary Oehlert
2005-08-12