Title of article :
On some properties of generalized Fibonacci and Lucas polynomials
Author/Authors :
Ucar, S ̈umeyra Department of Mathematics - Balıkesir University, Turkey
Abstract :
In this paper we investigate some properties of generalized Fibonacci and Lucas polynomials. We give some new identities using matrices and Laplace expansion for the generalized Fibonacci and Lucas polynomials. Also, we introduce new families of tridiagonal matrices whose successive determinants generate any subsequence of these polynomials.
Keywords :
Generalized Fibonacci polynomials , Generalized Lucas polynomials
Journal title :
International Journal of Optimization and Control: Theories and Applications
