A new approach to the generalized trace formula and asymptotics of Turán's determinant for polynomials with asymptotically \(N\)-periodic recurrence coefficients

DOI10.1007/s10958-022-06024-2OpenAlexW4306385592MaRDI QIDQ6188035

Boris P. Osilenker

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06024-2

zbMATH Keywords

orthogonal polynomialsrecurrence relationtrace formulaassociated polynomialsperiodic recurrence coefficients\(N\)-bounded variationapproximation of weight functionasymptotic of Turán's determinantaveraged Turán's determinantclass \(AP_N\)

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10)

Cites Work

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