q-Leonardo Bicomplex Numbers

Abstract: In the paper, we define the $q$-Leonardo bicomplex numbers by using the $q$-integers. Also, we give some algebraic properties of $q$-Leonardo bicomplex numbers such as recurrence relation, generating function, Binet's formula, D'Ocagne's identity, Cassini's identity, Catalan's identity and Honsberger identity.

Keywords:

Bicomplex number, q-integer, Fibonacci number, Bicomplex Fibonacci number, Leonardo number, q-Leonardo number q-Leonardo bicomplex number,

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