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Orthogonal Polynomials >> Orthogonal Polynomials > Chebyshev > chebyshev_poly

chebyshev_poly

Create Chebyshev polynomial

Calling Sequence

y=chebyshev_poly(n)

Parameters

n :

a 1-by-1 matrix of doubles, integer value, n>=0.

y :

a polynomial

Description

Create a Chebyshev polynomial of degree n at point x.

The Chebyshev polynomials are orthogonals with respect to the scalar product :

where w(x) is the Chebyshev weight.

To evaluate it, we can use the horner function, but hermite_eval might be faster and more accurate.

Examples

for n=0:10
y=chebyshev_poly(n);
disp(y)
end

Bibliography

http://en.wikipedia.org/wiki/Chebyshev_polynomials

Authors


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