Srivastava, H.M.Tuglu, NaimCetin, Mirac2020-12-272020-12-2720191787-2405http://real.mtak.hu/94980/1/2832.pdfhttp://hdl.handle.net/11727/5231In the present paper, we introduce new families of the q-Fibonacci and q-Lucas polynomials, which are represented here as the incomplete q-Fibonacci polynomials F-n(k) (x, s, q) and the incomplete q-Lucas polynomials L-n(k) (x, s, q), respectively. These polynomials provide the q-analogues of the incomplete Fibonacci and Lucas numbers. We give several properties and generating functions of each of these families q-polynomials. We also point out the fact that the results for the q-analogues which we consider in this article for 0 < q < 1 can easily be translated into the corresponding results for the (p, q)-analogues (with 0 < q < p <= 1) by applying some obvious parametric variations, the additional parameter p being redundant.enginfo:eu-repo/semantics/openAccessFibonacci polynomials and numbersLucas polynomials and numbersq-Fibonacci polynomialsq-Lucas polynomialsincomplete Fibonacci numbersincomplete Lucas numbersequivalence of the q-analogues and the corresponding (p, q)-analoguesArticle2015115240004712496000362-s2.0-85067468468