cheb function

Chebyshev polynomials

Return the value of the Chebyshev polynomial at specific points.

cheb(n, x)

Arguments

• n: Order of the polynomial, specified as a positive integer.
• x: Point or points at which to calculate the Chebyshev polynomial

Returns

Polynomial of order x, evaluated at point(s) x.

Details

The Chebyshev polynomials are defined by the equations:

If x is a vector, the output is a vector of the same size, where each element is calculated as $y(i) = Tn(x(i))$.

Examples

cp <- cheb(5, 1)
cp <- cheb(5, c(2,3))

Author(s)

André Carezia, acarezia@uol.com.br .

Conversion to R by Geert van Boxtel, G.J.M.vanBoxtel@gmail.com .