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Paper: Limit relations between q-Krall type orthogonal polynomials

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 — 176

ACADEMIC PRESS INC ELSEVIER SCIENCE (USA) | ISSN: 0022-247X | JCR┬« 2006 Impact Factor: 0.758 - MATHEMATICS — position: 46/187 (Q1/T1)

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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},
}