q-Chebyshev polynomials
arXiv:1205.5383
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 (6)
- q-Lucas polynomials and associated Rogers-Ramanujan type identities
- A simple approach to some Hankel determinants
- A q-analogue of Catalan Hankel determinants
- A simple approach to q-Chebyshev polynomials
- q-Fibonacci polynomials and q-Genocchi numbers
- Some beautiful q-analogues of Fibonacci and Lucas polynomials
Cited by in corpus (5)
- Some observations about determinants which are connected with Catalan numbers and related topics
- Continuous q-Hermite polynomials: An elementary approach
- Some remarks about q-Chebyshev polynomials and q-Catalan numbers and related results
- Some observations about super Catalan numbers, corresponding orthogonal polynomials, and their q-analogues
- A graphical categorification of the two-variable Chebyshev polynomials of the second kind