Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

• Дата: 2005
• Автори: Atakishiyev, N. M., Klimyk, A. U., Атакішієв, Н. М., Клімик, А. У.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: 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.