Please use this identifier to cite or link to this item:
https://er.nau.edu.ua/handle/NAU/16356
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | GROZA, Valentyna | - |
dc.contributor.author | KACHURYK, Ivan | - |
dc.date.accessioned | 2015-10-16T12:43:02Z | - |
dc.date.available | 2015-10-16T12:43:02Z | - |
dc.date.issued | 2006 | - |
dc.identifier.uri | http://er.nau.edu.ua/handle/NAU/16356 | - |
dc.description.abstract | 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. | uk_UA |
dc.language.iso | en | uk_UA |
dc.publisher | Symmetry, Integrability and Geometry: Methods and Applications | uk_UA |
dc.subject | q-orthogonal polynomials | uk_UA |
dc.subject | dual discrete q-ultraspherical polynomials | uk_UA |
dc.subject | q−1-Hermite polynomials | uk_UA |
dc.subject | orthogonality relation | uk_UA |
dc.title | On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Публікації у наукових виданнях співробітників кафедри екології |
Files in This Item:
File | Description | Size | Format | |
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SIG2006.pdf | стаття | 196.85 kB | Adobe PDF | View/Open |
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