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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Citation Formats

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.