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arXiv · 0907.3851

The Symmetrical $H_{q}$-Semiclassical Orthogonal Polynomials of Class One

Abdallah Ghressi·Lotfi Khériji
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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.

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Abdallah Ghressi, Lotfi Khériji. 2009-07-22. The Symmetrical $H_{q}$-Semiclassical Orthogonal Polynomials of Class One. https://doi.org/10.3842/sigma.2009.076

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