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Limit relations between $q$-Krall type orthogonal polynomials (1109.0485v2)

Published 2 Sep 2011 in math.CA

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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