Kizilates, CanFirengiz, Mirac CetinTuglu, Naim2023-06-052023-06-0520172217-3412http://hdl.handle.net/11727/9342In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polynomials. We obtain generating function and several properties of these polynomials. We also define q-analogue of the biperiodic incomplete Fibonacci and Lucas polynomials. We show that these polynomials satisfy nonlinear recurrence relations. Then we prove several summation formulas for the biperiodic incomplete q-Fibonacci and q-Lucas polynomialsenginfo:eu-repo/semantics/closedAccessq-Fibonacci polynomialq-biperiodic Fibonacci polynomialsbiperiodic Lucas polynomialArticle857185000416732700006