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An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials
Інший ID:
2010 Mathematics Subject Classification: 42C05; 33C45
DOI: http://dx.doi.org/10.3842/SIGMA.2011.092
DOI: http://dx.doi.org/10.3842/SIGMA.2011.092
Посилання:
An Introduction to the q-Laguerre-Hahn Orthogonal q-Polynomials / A. Ghressi, L. Khériji, M.I. Tounsi // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 21 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html.
The authors are very grateful to the referees for the constructive and valuable comments and
recommendations and for making us pay attention to a certain references.
Дата:
2011
Переглядів:
653
Завантажень:
241
Анотація:
Orthogonal q-polynomials associated with q-Laguerre-Hahn form will be studied as a generalization of the q-semiclassical forms via a suitable q-difference equation. The concept of class and a criterion to determinate it will be given. The q-Riccati equation satisfied by the corresponding formal Stieltjes series is obtained. Also, the structure relation is established. Some illustrative examples are highlighted.
