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arxiv: 1109.0485 · v2 · pith:QEWWOQVGnew · submitted 2011-09-02 · 🧮 math.CA

Limit relations between q-Krall type orthogonal polynomials

classification 🧮 math.CA
keywords jacobikralllimitmodificationpolynomialsrelationstypeaddition
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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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