q-Chebyshev polynomials

Abstract

In this overview paper a direct approach to q-Chebyshev polynomials and their elementary properties is given. Special emphasis is placed on analogies with the classical case. There are also some connections with q-tangent and q-Genocchi numbers.

enlarged version, 34 pages

References in corpus (3)

• A simple approach to some Hankel determinants
• A q-analogue of Catalan Hankel determinants
• Some beautiful q-analogues of Fibonacci and Lucas polynomials

Cited by in corpus (1)

• Some observations about super Catalan numbers, corresponding orthogonal polynomials, and their q-analogues