New connection method across more general turning points

DOI10.1090/S0273-0979-1981-14906-5zbMath0469.34043OpenAlexW2058632055MaRDI QIDQ3922973

Jeffrey F. Painter, Richard E. Meyer

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1981-14906-5

zbMATH Keywords

singular pointsSchrödinger equationlogarithmic turning pointsoscillator modulationuniform approximations of solutionsWKB-connection

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic representations in the complex plane (30E15)

Cites Work

• Turning-Point Connection at Close Quarters
• On the Asymptotic Solutions of Differential Equations, with an Application to the Bessel Functions of Large Complex Order
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