On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials

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dc.creatorGroza, Valentyna A.
dc.creatorKachuryk, Ivan I.
dc.date2006-03-16
dc.date.accessioned2026-07-07T09:34:31Z
dc.date.available2026-07-07T09:34:31Z
dc.descriptionThe dual discrete $q$-ultraspherical polynomials $D_n^{(s)}(μ(x;s)|q)$ 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 $D_n^{(s)}(μ(x;s)|q)$, 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 $D_n^{(s)}(μ(x;s)|q)$ are found.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0603408
dc.identifierhttp://arxiv.org/abs/math/0603408
dc.identifierSIGMA 2 (2006), 034, 8 pages
dc.identifierdoi:10.3842/SIGMA.2006.034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159518
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.titleOn Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
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