Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and recurrence relations

DOI10.1070/IM9138OpenAlexW3181033349MaRDI QIDQ5068108

S. Yu. Dobrokhotov, Alexander I. Aptekarev, D. N. Toulyakov, Anna V. Tsvetkova

Publication date: 5 April 2022

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im9138

zbMATH Keywords

pseudodifferential operatorsrecurrence relationsspecial functionsMaslov canonical operatorasymptotic formulae

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) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Linear difference equations (39A06)

Related Items (max. 100)

Asymptotics of multiple orthogonal Hermite polynomials \(H_{n_1,n_2}(z,\alpha)\) determined by a third-order differential equation ⋮ Complex WKB method (one-dimensional linear problems on the complex plane)

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