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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 076, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.076 (Mi sigma421) 		 
This article is cited in 16 scientific papers (total in 16 papers)

The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One

Abdallah Ghressi, Lotfi Khériji

Université de Gabès
Full-text PDF (363 kB) Citations (16)
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DOI: https://doi.org/10.3842/SIGMA.2009.076
Abstract: 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.
Received: December 12, 2008; in final form July 7, 2009; Published online July 22, 2009
Bibliographic databases:
Document Type: Article
MSC: 33C45; 42C05
Language: English
Citation: Abdallah Ghressi, Lotfi Khériji, “The Symmetrical $H_q$-Semiclassical Orthogonal Polynomials of Class One”, SIGMA, 5 (2009), 076, 22 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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