Scaled Asymptotics For Some $q$-Series As $q$ Approaching Unit

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dc.creatorZhang, Ruiming
dc.date2007-11-27
dc.date.accessioned2026-07-07T08:45:19Z
dc.date.available2026-07-07T08:45:19Z
dc.descriptionIn this work we investigate Plancherel-Rotach type asymptotics for some $q$-series as $q\to1$. These $q$-series generalize Ramanujan function $A_{q}(z)$; Jackson's $q$-Bessel function $J_ν^{(2)}$(z;q), Ismail-Masson orthogonal polynomials($q^{-1}$-Hermite polynomials) $h_{n}(x|q)$, Stieltjes-Wigert orthogonal polynomials $S_{n}(x;q)$, $q$-Laguerre orthogonal polynomials $L_{n}^{(α)}(x;q)$ and confluent basic hypergeometric series.
dc.description16
dc.identifierhttps://arxiv.org/abs/0711.4161
dc.identifierhttp://arxiv.org/abs/0711.4161
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142927
dc.subjectClassical Analysis and ODEs
dc.subject30E15;33D45.
dc.titleScaled Asymptotics For Some $q$-Series As $q$ Approaching Unit
dc.typetext

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