the Chebyshev polynomials are orthogonal in the interval [-1; 1] over a weight w (x) . it is easy to establish that these eigenfunctions are orthogonal with the weight p
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Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… … Wikipedia