Asymptotic analysis of the Hermite polynomials from their differential-difference equation

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dc.creatorDominici, Diego
dc.date2006-01-04
dc.date.accessioned2026-07-07T06:58:32Z
dc.date.available2026-07-07T06:58:32Z
dc.descriptionWe analyze the Hermite polynomials $H_{n}(x)$ and their zeros asymptotically, as $n\to\infty.$ We obtain asymptotic approximations from the differential-difference equation which they satisfy, using the ray method. We give numerical examples showing the accuracy of our formulas.
dc.description21 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0601078
dc.identifierhttp://arxiv.org/abs/math/0601078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107392
dc.subjectClassical Analysis and ODEs
dc.subject33C45 (Primary) 34E05, 34E20 (Secondary)
dc.titleAsymptotic analysis of the Hermite polynomials from their differential-difference equation
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