𝑞-CHEBYSHEV POLYNOMIALS AND THEIR 𝑞-CLASSICAL CHARACTERS

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
• 𝐻𝑞-semiclassical polynomials
• orthogonality measure