WKB asymptotics of meromorphic solutions to difference equations

DOI10.1080/00036811.2019.1652735zbMath1476.39023arXiv1903.02224OpenAlexW2967890393WikidataQ127340094 ScholiaQ127340094MaRDI QIDQ4987131

Alexander Fedotov, Frédéric Klopp

Publication date: 28 April 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02224

zbMATH Keywords

semiclassical asymptoticsdifference equationsmeromorphic coefficientscomplex WKB method

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Discrete version of topics in analysis (39A12) Difference equations in the complex domain (39A45) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

Related Items (4)

Complex WKB method for a system of two linear difference equations ⋮ Complex WKB method (one-dimensional linear problems on the complex plane) ⋮ Semiclassical asymptotics of transition matrices for difference equations with two coalescing turning points ⋮ Difference equations in the complex plane: quasiclassical asymptotics and Berry phase

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