Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

By using two operators representable by Jacobi matrices, we introduce a family of q-orthogonal polynomials, which turn out to be dual with respect to alternative q-Charlier polynomials. A discrete orthogonality relation and the completeness property for these polynomials are established.

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Bibliographic Details
Date:2005
Main Authors: Atakishiyev, N. M., Klimyk, A. U., Атакішієв, Н. М., Клімик, А. У.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3627
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal