Bicomplex Leonardo Numbers

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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.

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