Geodesic
Some counterexamples to subexponential growth of orthogonal polynomials
Studia Mathematica, Tome 116 (1995) no. 2, pp. 197-206

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We give examples of polynomials p(n) orthonormal with respect to a measure μ on ⨍ such that the sequence {p(n,x)} has exponential lower bound for some points x of supp μ. Moreover, the set of such points is dense in the support of μ.
DOI : 10.4064/sm-116-2-197-206
Keywords: orthogonal polynomials, recurrence formula, subexponential growth

Marcin J. Zygmunt 1

1 
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Marcin J. Zygmunt. Some counterexamples to subexponential growth of orthogonal polynomials. Studia Mathematica, Tome 116 (1995) no. 2, pp. 197-206. doi: 10.4064/sm-116-2-197-206

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