A note on the asymptotics of the Hankel determinant associated with time-dependent Jacobi polynomials

DOI10.1090/proc/15887zbMath1482.42069OpenAlexW4233024550MaRDI QIDQ5027213

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Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15887

zbMATH Keywords

Hankel determinantrecurrence coefficientsPainlevé VHeun's differential equationslarge \(n\) asymptoticstime-dependent Jacobi polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Painlevé-type functions (33E17)

Uses Software

• DLMF

Cites Work

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