An asymptotic expansion of eigenpolynomials for a class of linear differential operators

DOI10.1111/sapm.12613zbMath1528.34069OpenAlexW4381952676MaRDI QIDQ6091778

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Publication date: 27 November 2023

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12613

zbMATH Keywords

ordinary differential equationsasymptotic expansionsWKB solutionexactly solvable operatorspolynomials eigenfunctions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

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