On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
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| Creator |
Groza, V.A.
Kachuryk, I.I. |
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| Description |
The dual discrete q-ultraspherical polynomials Dn(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 Dn(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 Dn(s)(μ(x;s)|q) are found.
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| Date |
2019-02-09T16:53:59Z
2019-02-09T16:53:59Z 2006 |
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| Type |
Article
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| Identifier |
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials / V.A. Groza, I.I. Kachuryk // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 11 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33D45; 81Q99 http://dspace.nbuv.gov.ua/handle/123456789/146429 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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