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Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients

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This paper considers systems of orthogonal polynomials which satisfy a three-term recurrence relation in which the recursion coefficients are unbounded. Conditions are imposed on the coefficient sequences to establish that the corresponding measure of orthogonality is absolutely continuous.

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Communicated by Edward B. Saff.

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Dombrowski, J. Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients. Constr. Approx 8, 161–167 (1992). https://doi.org/10.1007/BF01238266

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  • DOI: https://doi.org/10.1007/BF01238266

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