Some identities involving (p,q)-Fibonacci and Lucas quaternions

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 √

Some Identities for Generalized Fibonacci and Lucas Sequences

In this study, we define a generalization of Lucas sequence {pn}. Then we obtain Binet formula of sequence {pn} . Also, we investigate relationships between generalized Fibonacci and Lucas sequences.

Identities Involving Lucas or Fibonacci and Lucas Numbers as Binomial Sums

As in [1, 2], for rapid numerical calculations of identities pertaining to Lucas or both Fibonacci and Lucas numbers we present each identity as a binomial sum. 1. Preliminaries The two most well-known linear homogeneous recurrence relations of order two with constant coefficients are those that define Fibonacci and Lucas numbers (or Fibonacci and Lucas sequences). They are defined recursively ...

Some New Finite Sums Involving Generalized Fibonacci And Lucas Numbers

Generalizations of Some Identities Involving the Fibonacci Numbers