Limit relations between $q$-Krall type orthogonal polynomials

Details Limit relations between $q$-Krall type orthogonal polynomials Limit relations between $q$-Krall type orthogonal polynomials

2011-09-02

arxiv.org/abs/1109.0485v1

J. Math. Anal. Appl. 322 (2006), no. 1, 158--176

Mathematics

Classical Analysis and ODEs

19 Pages, 3 tables, 1 figure

Scientific paper

10.1016/j.jmaa.2005.08.067

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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