Chebyshev polynomials
Chebyshev polynomials
!Plot of the first five Tn Chebyshev polynomials (first kind)
Chebyshev polynomials
!Plot of the first five Un Chebyshev polynomials (second kind)
Chebyshev polynomials
The Chebyshev polynomials are two sequences of orthogonal polynomials related to the cosine and sine functions, notated as ${\displaystyle T{n}(x)}$ and ${\displaystyle U{n}(x)}$. They can be defined in several equivalent ways, one of which starts with trigonometric functions: