Exponential Asymptotics for an Eigenvalue of a Problem Involving Parabolic Cylinder Functions

DOI10.2307/2159623zbMath0759.34054OpenAlexW4231293913MaRDI QIDQ3991936

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Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159623

zbMATH Keywords

eigenvalueasymptotic formulaTitchmarsh-Weyl functionsurface wavesparabolic cylinder functiongamma functionsoptical tunnelling

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Gamma, beta and polygamma functions (33B15) Weyl theory and its generalizations for ordinary differential equations (34B20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Other special functions (33E99) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

Exponentially-improved asymptotics for the gamma function

Cites Work

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• Kernel functions and eigenfunction expansions
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• A Model Equation for Optical Tunnelling
• Exponential Asymptotics
• Leakage and response of waves trapped by round islands
• Uniform asymptotic smoothing of Stokes’s discontinuities

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