Weak convergence of orthogonal polynomials
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orthogonalpolynomialsconvergenceresultsweakappliedasymptoticbehaviour
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The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generalize known results and are applied to several systems of orthogonal polynomials, including orthogonal polynomials on a finite set of points.
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