The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One

The Symmetrical H_q-Semiclassical Orthogonal Polynomials of Class One

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

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Bibliographic Details
Main Authors: Abdallah Ghressi, Lotfi Khériji
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2009-07-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
quadratic decomposition of symmetrical orthogonal polynomials
semiclassical form
integral representations
q-difference operator
q-series representations
the q-analog of the distributional equation of Pearson type
Online Access:http://dx.doi.org/10.3842/SIGMA.2009.076

Internet

http://dx.doi.org/10.3842/SIGMA.2009.076

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