On the q-Charlier Multiple Orthogonal Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Arvesú, J., Ramírez-Aberasturis, A.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147005
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the q-Charlier Multiple Orthogonal Polynomials / J. Arvesú, A.M. Ramírez-Aberasturis // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 20 назв. — англ.

We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type fo...