A unified algorithmic framework interprets coefficient recurrences for orthogonal polynomial series as numerators of operator fractions and computes them via noncommutative Euclidean algorithm.
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Fractions of Recurrence Operators for Generalized Fourier Series in Classical Orthogonal Polynomials
A unified algorithmic framework interprets coefficient recurrences for orthogonal polynomial series as numerators of operator fractions and computes them via noncommutative Euclidean algorithm.