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arXiv · 1109.0485

Limit relations between $q$-Krall type orthogonal polynomials

R. Álvarez-Nodarse·R. S. Costas-Santos
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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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BibTeXRIS

R. Álvarez-Nodarse, R. S. Costas-Santos. 2011-09-02. Limit relations between $q$-Krall type orthogonal polynomials. https://doi.org/10.1016/j.jmaa.2005.08.067

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