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This article is cited in 2 scientific papers (total in 2 papers)
$q$-Chebyshev polynomials and their $q$-classical characters
M. Mejri University Tunis El Manar,
Preparatory Institute for Engineering Studies,
Campus universitaire El Manar-B.P 244,
El Manar II, Tunis 2092, Tunisia
Abstract:
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.
Received: 22.05.2021 Revised: 12.10.2021 Accepted: 15.10.2021
Citation:
M. Mejri, “$q$-Chebyshev polynomials and their $q$-classical characters”, Probl. Anal. Issues Anal., 11(29):1 (2022), 81–101
Linking options:
https://www.mathnet.ru/eng/pa344 https://www.mathnet.ru/eng/pa/v29/i1/p81
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Abstract page: | 63 | Full-text PDF : | 38 | References: | 17 |
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