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On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
Репозитарій Національного Авіаційного Університету
View Archive Info| Field | Value | |
| Title |
On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials
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| Creator |
GROZA, Valentyna
KACHURYK, Ivan |
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| Subject |
q-orthogonal polynomials
dual discrete q-ultraspherical polynomials q−1-Hermite polynomials orthogonality relation |
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| Description |
The 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. |
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| Date |
2015-10-16T12:43:02Z
2015-10-16T12:43:02Z 2006 |
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| Type |
Article
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| Identifier |
http://er.nau.edu.ua/handle/NAU/16356
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| Language |
en
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| Format |
application/pdf
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| Publisher |
Symmetry, Integrability and Geometry: Methods and Applications
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