Geodesic
The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 moments and integral or discrete representations are given.
Keywords: 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. 
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Abdallah Ghressi; Lotfi Khériji. The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a75/

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