Norm behavior and zero distribution for orthogonal polynomials with nonsymmetric weights |
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| Authors: | Walter Van Assche |
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| Institution: | 1. Belgian National Fund for Scientific Research, Belgium
2. Departement Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200B, B-3030, Leuven, Belgium
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| Abstract: | The asymptotic behavior of thenth root of the leading coefficient of orthogonal polynomials on (– ,) and the distribution of their zeros is studied for nonsymmetric weights that behave like exp(–2B|x| ) whenx>0 and exp(–2Ax
) whenx<0,>A B. These results generalize previous investigations of Rakhmanov and Mhaskar and Saff who handle the symmetric caseA=B.Communicated by Paul Nevai. |
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| Keywords: | AMS classification" target="_blank">AMS classification 42C05 33A65 |
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