Please use this identifier to cite or link to this item: https://er.nau.edu.ua/handle/NAU/16356
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dc.contributor.authorGROZA, Valentyna-
dc.contributor.authorKACHURYK, Ivan-
dc.date.accessioned2015-10-16T12:43:02Z-
dc.date.available2015-10-16T12:43:02Z-
dc.date.issued2006-
dc.identifier.urihttp://er.nau.edu.ua/handle/NAU/16356-
dc.description.abstractThe dual discrete q-ultraspherical polynomials D(s) n (μ(x; s)|q) correspond to indeterminate moment problem and, therefore, have one-parameter family of extremal orthogonality relations. It is shown that special cases of dual discrete q-ultraspherical polynomials D(s) n (μ(x; s)|q), when s = q−1 and s = q, are directly connected with q−1-Hermite polynomials. These connections are given in an explicit form. Using these relations, all extremal orthogonality relations for these special cases of polynomials D(s) n (μ(x; s)|q) are found.uk_UA
dc.language.isoenuk_UA
dc.publisherSymmetry, Integrability and Geometry: Methods and Applicationsuk_UA
dc.subjectq-orthogonal polynomialsuk_UA
dc.subjectdual discrete q-ultraspherical polynomialsuk_UA
dc.subjectq−1-Hermite polynomialsuk_UA
dc.subjectorthogonality relationuk_UA
dc.titleOn Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomialsuk_UA
dc.typeArticleuk_UA
Appears in Collections:Публікації у наукових виданнях співробітників кафедри екології

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