Orthogonal polynomials for exponential weights on |
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Authors: | Eli Levin Doron Lubinsky |
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Institution: | aMathematics Department, The Open University of Israel, P.O. Box 808, Raanana 43107, Israel;bThe School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA |
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Abstract: | Let I=0,d), where d is finite or infinite. Let , where and Q is continuous and increasing on I, with limit ∞ at d. We study the orthonormal polynomials associated with the weight , obtaining bounds on the orthonormal polynomials, zeros, and Christoffel functions. In addition, we obtain restricted range inequalities. |
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Keywords: | Orthogonal polynomials Exponential weights Laguerre weights |
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