On bicomplex numbers with coefficients from the complex Fibonacci sequence

Halici, Serpil; Çürük, Şule

doi:10.7546/nntdm.2019.25.3.126-137

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The Numbers Ble N and The Identities Involving Them1

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2024

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“…In the studies in [10][11][12][13], the authors examined the arithmetic operations in bicomplex space and their structure of functions in detail. In this section, we obtained some identities using Leonardo and bicomplex numbers.…”

Section: The Numbers Ble N and The Identities Involving Themmentioning

confidence: 99%

On the Leonardo Sequence via Pascal-Type Triangles

Halıcı,

Curuk

2024

Journal of Mathematics

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In this study, we discussed the Leonardo number sequence, which has been studied recently and caught more attention. We used Pascal and Hosoya-like triangles to make it easier to examine the basic properties of these numbers. With the help of the properties obtained in this study, we defined a number sequence containing the new type of Leonardo numbers created by choosing the coefficients from the bicomplex numbers. Furthermore, we gave the relationship of this newly defined sequence with the Fibonacci sequence. We also provided some important identities in the literature provided by the elements of this sequence described in this paper.

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Section: The Numbers Ble N and The Identities Involving Themmentioning

confidence: 99%