Limit relations between q-Krall type orthogonal polynomials
Álvarez-Nodarse, R. and Costas-Santos, R. S. Journal of Mathematical Analysis and Applications 322, no. 1 (2006), 158 — 176PREV — NEXT
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}, }