Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials

• Published in: Український математичний журнал
• Date: 2005
• Main Authors: Atakishiyev, N.M., Klimyk, A.U.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165733
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials / N.M.Atakishiyev, A.U. Klimyk // Український математичний журнал. — 2005. — Т. 57, № 5. — С. 614–621. — Бібліогр.: 15 назв. — англ.

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. 3a допомого...