On the Horadam hybrid quaternions

In this study, we firstly define the Horadam hybrid quaternions and present some of their properties. Then, we define Fibonacci and Lucas hybrid quaternions, and also we study the relationship between the Fibonacci and the Lucas hybrid quaternions which connect the Fibonacci quaternions and Lucas quaternions. Furthermore, we also give some identities such as the Binet formulas and Cassini identities for Fibonacci and Lucas hybrid quaternions.