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On the Krall-type polynomials on q-quadratic lattices
Date
2011-08-01
Author
Alvarez-Nodarse, R.
Adiguzel, R. Sevinik
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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. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved.
Subject Keywords
General Mathematics
URI
https://hdl.handle.net/11511/64517
Journal
INDAGATIONES MATHEMATICAE-NEW SERIES
DOI
https://doi.org/10.1016/j.indag.2011.04.002
Collections
Department of Mathematics, Article
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R. Alvarez-Nodarse and R. S. Adiguzel, “On the Krall-type polynomials on q-quadratic lattices,”
INDAGATIONES MATHEMATICAE-NEW SERIES
, pp. 181–203, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64517.