
The Chebyshev polynomials T_{n}(x) of degree n are special orthogonal polynomial functions defined on the domain [1, 1].
Orthogonality:
_{1}∫^{1} W(x) T_{i}(x) T_{j}(x) dx = δ_{ij} 
W(x) = (1 – x^{2})^{–1/2} (1 < x < 1) 
They obey certain recurrence relations:
T_{n}(x) = 2 x T_{n1}(x) – T_{n2}(x) 
T_{0}(x) = 1 
T_{1}(x) = x 
© djmw, June 20, 1999