q-Chebyshev polynomials and its q-classical and q-Laguerre-Hahn character

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Abstract

In this work we give some properties of the q -Chebyshev polyno- mials, its perturbed of order one and its rst associated polynomials through the Stieltjes function associated with their regular forms (linear functional). Some connection formulas are highlighted. Also the integral representation of those forms are given.

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last seen: 2026-05-20T01:45:00.602351+00:00