Chebyshev polynomials
Return the value of the Chebyshev polynomial at specific points.
cheb(n, x)
n |
Order of the polynomial, specified as a positive integer. |
x |
Point or points at which to calculate the Chebyshev polynomial |
The Chebyshev polynomials are defined by the equations:
Tn(x) = cos(n . acos(x), |x|<= 1 Tn(x) = cosh(n . acosh(x), |x|> 1
If x is a vector, the output is a vector of the same size, where each
element is calculated as y(i) = Tn(x(i)).
Polynomial of order x, evaluated at point(s) x.
André Carezia, acarezia@uol.com.br.
Conversion to R by
Geert van Boxtel, G.J.M.vanBoxtel@gmail.com.
cp <- cheb(5, 1) cp <- cheb(5, c(2,3))
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