This article is cited in 3 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.

UDC: 517.58, 517.518

MSC: Primary 33C45; Secondary 42C05

Received: 22.05.2021
Revised: 12.10.2021
Accepted: 15.10.2021

Language: English

DOI: 10.15393/j3.art.2022.10330

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