On some properties of split Horadam quaternions

Abstract

In this paper we introduce and study the split Horadam quaternions. We give some identities, among others Binet’s formula, Catalan’s, Cassini’s and d’Ocagne’s identities for these numbers.

Keywords

• horadam numbers
• quaternion
• split quaternion
• split horadam quaternion
• 11b37
• 11r52