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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.Orthogonal Polynomials. Binomial type, Polynomial sequence, Hermite polynomials, Laguerre polynomials, Jacobi polynomials, Chebyshev polynomials, Legendre polynomials, Gegenbauer polynomials, Generalized Fourier series, Sheffer sequence, Appell sequence, Umbral calculus, Secondary measure, Approximation theory