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arxiv: 1408.5349 · v3 · pith:DTVD5IOXnew · submitted 2014-08-22 · 🧮 math.CA

Measures for orthogonal polynomials with unbounded recurrence coefficients

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keywords coefficientspolynomialsdiscussedorthogonalrecurrenceasymptoticsconditionconsequences
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Systems of orthogonal polynomials whose recurrence coefficients tend to infinity are considered. A summability condition is imposed on the coefficients and the consequences for the measure of orthogonality are discussed. Also discussed are asymptotics for the polynomials.

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