Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

Some Trigonometric Identities Involving Fibonacci and Lucas Numbers

In this paper, using the number of spanning trees in some classes of graphs, we prove the identities: Fn = 2n−1 n √

Generalizations of Some Identities Involving the Fibonacci Numbers

Fibonacci numbers and trigonometric identities

Webb & Parberry proved in 1969 a startling trigonometric identity involving Fibonacci numbers. This identity has remained isolated up to now, despite the amount of work on related polynomials. We provide a wide generalization of this identity together with what we believe (and hope!) to be its proper understanding.

Binomial Identities Involving The Generalized Fibonacci Type Polynomials

We present some binomial identities for sums of the bivariate Fi-bonacci polynomials and for weighted sums of the usual Fibonacci polynomials with indices in arithmetic progression.

Bell polynomials and Fibonacci numbers