On the q-Charlier Multiple Orthogonal Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the q-Charlier Multiple Orthogonal Polynomials
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| Creator |
Arvesú, J.
Ramírez-Aberasturis, A.M. |
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| Description |
We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained. An explicit representation in terms of a q-analogue of the second of Appell's hypergeometric functions is given. A high-order linear q-difference equation with polynomial coefficients is deduced. Moreover, we show how to obtain the nearest neighbor recurrence relation from some difference operators involved in the Rodrigues-type formula.
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| Date |
2019-02-12T18:23:59Z
2019-02-12T18:23:59Z 2015 |
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| Type |
Article
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| Identifier |
On the q-Charlier Multiple Orthogonal Polynomials / J. Arvesú, A.M. Ramírez-Aberasturis // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 20 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 42C05; 33E30; 33C47; 33C65 DOI:10.3842/SIGMA.2015.026 http://dspace.nbuv.gov.ua/handle/123456789/147005 |
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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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