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Orthogonal polynomials for exponential weights on
Authors:Eli Levin  Doron Lubinsky  
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
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.
Keywords:Orthogonal polynomials  Exponential weights  Laguerre weights
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