Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials

We find and discuss asymptotic formulas for orthonormal polynomials [Formula: see text] with recurrence coefficients [Formula: see text]. Our main goal is to consider the case where off-diagonal elements [Formula: see text] as [Formula: see text]. Formulas obtained are essentially different for rela...

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Bibliographic Details
Main Author: D. R. Yafaev
Format: Article
Language:English
Published: World Scientific Publishing 2022-12-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:https://www.worldscientific.com/doi/10.1142/S1664360722500023