Some beautiful q-analogues of Fibonacci and Lucas polynomials

Abstract

We give an overview about well-known basic properties of two classes of q-Fibonacci and q-Lucas polynomials and offer a common generalization.

References in corpus (2)

• q-Lucas polynomials and associated Rogers-Ramanujan type identities
• Recurrence relations for powers of q-Fibonacci polynomials

Cited by in corpus (3)

• q-Chebyshev polynomials
• A simple approach to q-Chebyshev polynomials
• Continuous q-Hermite polynomials: An elementary approach