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MOC
1998
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14 years 8 days ago
Fast algorithms for discrete polynomial transforms
Consider the Vandermonde-like matrix P := (Pk(cos jπ N ))N j,k=0, where the polynomials Pk satisfy a three-term recurrence relation. If Pk are the Chebyshev polynomials Tk, then P...
Daniel Potts, Gabriele Steidl, Manfred Tasche
JAT
2002
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14 years 8 days ago
Blumenthal's Theorem for Laurent Orthogonal Polynomials
We investigate polynomials satisfying a three-term recurrence relation of the form Bn(x) = (x - n)Bn-1(x) - nxBn-2(x), with positive recurrence coefficients n+1, n (n = 1, 2, . . ...
A. Sri Ranga, Walter Van Assche