Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

• 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
• Journal Title: 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.