Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

• Datum: 2005
• Hauptverfasser: Atakishiyev, N. M., Klimyk, A. U., Атакішієв, Н. М., Клімик, А. У.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3627
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.