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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
Fuente: Journal of classical analysis Volume 18, Number 1 (2021), 49-81
Publisher: Element
Publication date: 01/01/2021
No. of pages: 33
Publication type: Article
DOI: 10.7153/jca-2021-18-05
ISSN: 1848-5987,1848-5979
Spanish project: PGC2018-098279-B-I00
Publication Url: http://jca.ele-math.com/18-05/Sharp-error-bounds-for-turning-point-expansions
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DUNSTER, T. M.
AMPARO GIL GOMEZ
JOSE JAVIER SEGURA SALA
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