Article ID Journal Published Year Pages File Type
4607977 Journal of Approximation Theory 2009 28 Pages PDF
Abstract

We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for an≡1an≡1, bn=−Cn−βbn=−Cn−β (0<β<23), one has dμ(x)=w(x)dx on (−2,2)(−2,2), and near x=2x=2, w(x)=e−2Q(x) where Q(x)=β−1C1βΓ(32)Γ(1β−12)(2−x)12−1βΓ(1β+1)(1+O((2−x))).

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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