Zeros and orthogonality of the Askey-Wilson polynomials for q a root of unity

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dc.creatorSpiridonov, V.
dc.creatorZhedanov, A.
dc.date1996-05-21
dc.date2005-11-18
dc.date.accessioned2026-07-07T09:08:39Z
dc.date.available2026-07-07T09:08:39Z
dc.descriptionWe study some properties of the Askey-Wilson polynomials (AWP) when q is a primitive N-th root of unity. For general four-parameter AWP, zeros of the N-th polynomial and the orthogonality measure are found explicitly. Special subclasses of the AWP, e.g., the continuous q-Jacobi and big q-Jacobi polynomials, are considered in detail. A set of discrete weight functions positive on a real interval is described. Some new trigonometric identities related to the AWP are obtained. Normalization conditions of some polynomials are expressed in terms of the Gauss sums.
dc.description18 pages, LATEX
dc.identifierhttps://arxiv.org/abs/q-alg/9605034
dc.identifierhttp://arxiv.org/abs/q-alg/9605034
dc.identifierDuke Math. J. 89 (1997), 283--305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150796
dc.subjectQuantum Algebra
dc.subject33D45
dc.titleZeros and orthogonality of the Askey-Wilson polynomials for q a root of unity
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