Parabolic Cylinder Functions: Examples of Error Bounds For Asymptotic Expansions

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dc.creatorVidunas, Raimundas
dc.creatorTemme, Nico M.
dc.date2002-05-06
dc.date.accessioned2026-07-07T04:48:16Z
dc.date.available2026-07-07T04:48:16Z
dc.descriptionSeveral asymptotic expansions of parabolic cylinder functions are discussed and error bounds for remainders in the expansions are presented. In particular Poincar{é}-type expansions for large values of the argument $z$ and uniform expansions for large values of the parameter are considered. The expansions are based on those given in Olver(1959) and on modifications of these expansions given in Temme(2000). Computer algebra techniques are used for obtaining representations of the bounds and for numerical computations.
dc.description22 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0205045
dc.identifierhttp://arxiv.org/abs/math/0205045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63982
dc.subjectClassical Analysis and ODEs
dc.subject41A60 (Primary) 33C15, 33C10, 30E15, 33F05, 65D20 (Secondary)
dc.titleParabolic Cylinder Functions: Examples of Error Bounds For Asymptotic Expansions
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