Abstract:
In this paper, we present k sequences of generalized Van der Laan polynomials and generalized Perrin polynomials by using generalized Fibonacci and Lucas polynomials. We give some properties of these poly- nomials. We also obtain generalized order-k Van der Laan numbers, k sequences of generalized order-k Van der Laan numbers, generalized order- k Perrin numbers and k sequences of generalized order-k Perrin numbers. In addition, we examine relationships between them.