Sharp error bounds for turning point expansions

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URI: http://hdl.handle.net/10902/22760
ISSN: 1848-5987
ISSN: 1848-5979
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Autoría
Dunster, T. M.; Gil Gómez, AmparoAutoridad Unican; Segura Sala, José JavierAutoridad Unican
Fecha
2021-01
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Attribution-NonCommercial 4.0 International
Publicado en
Journal of classical analysis Volume 18, Number 1 (2021), 49-81
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Palabras clave
Asymptotic expansions
Airy functions
Turning point theory
WKB methods
Resumen/Abstract
ABSTRACT: Computable and sharp error bounds are derived for asymptotic expansions for linear differential equations having a simple turning point. The expansions involve Airy functions and slowly varying coefficient functions. The sharpness of the bounds is illustrated numerically with an application to Bessel functions of large order.
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