An expression in the form of a Riemann theta-function is obtained for the asymptotic behavior of polynomials orthogonal on a system of contours. Properties of a limit-periodic discrete Sturm-Liouville operator and the dynamics of a periodic Toda lattice are considered as a consequence of the asymptotic formulas obtained.Figures: 2. Bibliography: 21 titles.
No takes yet. Share an insight, caveat, or question.
Alexander Ivanovich Aptekarev (1986) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: