Identities involving generalized Fibonacci-type polynomials

摘要

In this paper we consider a family of generalized Fibonacci-type polynomials. These polynomials have a lot of similar properties to the generalized Jacobsthal-type polynomials. As an extension of the work of Djordjević [G.B. Djordjević, Mixed convolutions of the Jacobsthal type, Appl. Math. Comput. 186 (2007) 646–651], we give some recurrence relations and identities involving the generalized Fibonacci-type polynomials.