q-Leonardo Bicomplex Numbers

Yıl 2023, Cilt: 11 Sayı: 2, 176 - 183, 31.10.2023

Fügen Torunbalcı Aydın

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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