The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Ghressi, A., Khériji, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149136
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Symmetrical Hq-Semiclassical Orthogonal Polynomials of Class One / A. Ghressi, L. Khériji // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 35 назв. — англ.

We investigate the quadratic decomposition and duality to classify symmetrical Hq-semiclassical orthogonal q-polynomials of class one where Hq is the Hahn's operator. For any canonical situation, the recurrence coefficients, the q-analog of the distributional equation of Pearson type, the momen...