Bicomplex Leonardo Numbers
- FÜGEN TORUNBALCI AYDIN
Abstract
In literature until today, many authors have studied special sequences
in different number systems. In this paper, using the Leonardo numbers,
we in- troduce the bicomplex Leonardo numbers. Also, we give some
algebraic prop- erties of bicomplex Leonardo numbers such as recurrence
relation, generating function, Binet's formula, D'Ocagne's identity,
Cassini's identity, Catalan's identity and Honsberger identity.