Limit relations between q-Krall type orthogonal polynomials

Abstract

In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a q-classical linear functional via the addition of one or two mass points. The limit relations between the q-Krall type modification of big q-Jacobi, little q-Jacobi, big q-Laguerre, and other families of the q-Hahn tableau are established.

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BibTeX

@article {MR2238156,
AUTHOR={Álvarez-Nodarse, R. and Costas-Santos, R. S.},
TITLE={Limit relations between {$q$}-{K}rall type orthogonal polynomials},
JOURNAL={J. Math. Anal. Appl.},
FJOURNAL={Journal of Mathematical Analysis and Applications},
VOLUME={322},
YEAR={2006},
NUMBER={1},
PAGES={158--176},
ISSN={0022-247X},
MRCLASS={33C45 (42C05)},
ZBL={1096.33011},
MRNUMBER={2238156},
MRREVIEWER={Youss\`ef Ben Cheikh},
DOI={10.1016/j.jmaa.2005.08.067},
URL={https://doi.org/10.1016/j.jmaa.2005.08.067},
}