Article
On the Krall-type polynomials on q-quadratic lattices
Author/s | Álvarez Nodarse, Renato
Sevinik Adigüzel, Rezan |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2011-08 |
Deposit Date | 2016-05-31 |
Published in |
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Abstract | In this paper, we study the Krall-type polynomials on non-uniform lattices.
For these polynomials the second order linear difference equation, q-basic
series representation and three-term recurrence relations are obtained. ... In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two mass points to the weight function of the non-standard q-Racah polynomials at the ends of the interval of orthogonality are considered in detail. Some important limit cases are also discussed. |
Funding agencies | Dirección General de Enseñanza Superior. España Junta de Andalucía |
Project ID. | MTM2009-12740-C03
FQM-0262 P09-FQM-4643 |
Citation | Álvarez Nodarse, R. y Sevinik Adigüzel, R. (2011). On the Krall-type polynomials on q-quadratic lattices. Indagationes Mathematicae, 21 (3-4), 181-203. |
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