Geodesic
$q$-Chebyshev polynomials and their $q$-classical characters
Problemy analiza, Tome 11 (2022) no. 1, pp. 81-101

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In this work, we give some properties of the $q$-Chebyshev polynomials through the Stieltjes function associated with their regular forms (linear functional). Some connection formulas are highlighted. The integral representation of those forms are given.
Keywords: $q$-difference equation, $H_q$-semiclassical polynomials, orthogonality measure. 
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M. Mejri. $q$-Chebyshev polynomials and their $q$-classical characters. Problemy analiza, Tome 11 (2022) no. 1, pp. 81-101. http://geodesic.mathdoc.fr/item/PA_2022_11_1_a6/