Polynomials Tn(x) and Un(x) which uniquely satisfy Tn(cosθ) = cosnθ and Un(cosθ)sinθ = sin(n + 1)θ for all θ. They are orthogonal polynomials on the interval (–1,1) with weight functions w(x)=(1−x2)1/2 and w(x)=(1−x2)−1/2 respectively.
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