A new perspective on bicomplex numbers with Leonardo number components

Year 2023, Volume: 72 Issue: 2, 340 - 351, 23.06.2023

Murat Turan , Sıddıka Özkaldı Karakuş , Semra Kaya Nurkan

https://doi.org/10.31801/cfsuasmas.1181930

Abstract

In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.

Keywords

Fibonacci numbers, bicomplex numbers, Leonardo numbers

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