Monotone Jacobi parameters and non-Szegő weights Original Research Article

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 (View the MathML source0<β<23), one has View the MathML sourcedμ(x)=w(x)dx on (−2,2)(−2,2), and near x=2x=2, View the MathML sourcew(x)=e−2Q(x) where