Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Abstract

In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present two different versions of Cassini identity of these numbers.

Keywords

• binet formula
• fibonacci hybrid numbers
• generating function
• lucas hybrid numbers
• matrix method