Let I = [0, d), where d is finite or infinite. Let Wρ (x) = xρ exp (-Q (x)), where ρ > - 1/2 and Q is continuous and increasing on I, with limit ∞ at d. We study the orthonormal polynomials associated with the weight Wρ2, obtaining bounds on the orthonormal polynomials, zeros, and Christoffel functions. In addition, we obtain restricted range inequalities.
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∗ Corresponding author. Fax: +1 404 894 4409. E-mail address: lubins email@example.com (D. Lubinsky). 1This author acknowledges s upport by National Science Foundation Grant DMS 0400446.
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