Hyper-Leonardo Hybrinomials

MERSİN, Efruz Özlem; Bahşi, Mustafa

doi:10.20290/estubtdb.1226488

Cited by 1 publication

(2 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Classical identities were also presented, demonstrated through symmetric and antisymmetric properties of Fibonacci numbers. Mersin and Bahsi (2023) extended the hybrid numbers of Leonardo to hyper-Leonardo hybrid numbers. Mersin and Bahsi (2023) refer to these numbers as hyper because they are a generalization of the hybrid-Leonardo numbers.…”

Section: A State Of Art On the Leonardo Sequence: Panorama Of Current...mentioning

confidence: 99%

“…Mersin and Bahsi (2023) extended the hybrid numbers of Leonardo to hyper-Leonardo hybrid numbers. Mersin and Bahsi (2023) refer to these numbers as hyper because they are a generalization of the hybrid-Leonardo numbers. Additionally, Kara and Yilmaz (2023) relate Leonardo Gaussian numbers to hybrid numbers, resulting in hybrid numbers with Gaussian coefficients of Leonardo.…”

Section: A State Of Art On the Leonardo Sequence: Panorama Of Current...mentioning

confidence: 99%

See 1 more Smart Citation

State of the art on the Leonardo sequence: An evolutionary study of the epistemic-mathematical field

Mangueira,

Alves,

Catarino

et al. 2024

PEDAGOGICAL RES

View full text Add to dashboard Cite

This work is a segment of an ongoing doctoral research in Brazil. The Leonardo numbers and the Leonardo sequence have gained attention from mathematicians and the academic community. Despite being a relatively new sequence within mathematical literature, its discussion has intensified over the past five years, giving rise to other branches, with contributions and associations to other topics in mathematics. Thus, the aim of this study was to construct and present the state of the art of the Leonardo sequence, considering its historical aspects and highlighting works on its evolutionary process in the epistemic-mathematical field, regarding its generalization, complexification, hyper complexification, and combinatorial model during the last five years (2019-2023). The methodology used was a bibliographic study, where the state of the art was carried out through the mapping of publications on the subject. Twenty-four research works related to the key descriptors “Leonardo sequence”, “Leonardo numbers”, “complexification”, “generalization”, “hybrids”, and “combinatorial model” were found, cataloged, and discussed. From the analysis of these studies, it is noted that its development in pure mathematics has advanced to other branches and discoveries, and that, albeit timidly, research on the subject has emerged directed towards the field of education, especially in the initial teacher training and, particularly, in Brazil.

show abstract

Section: A State Of Art On the Leonardo Sequence: Panorama Of Current...mentioning

confidence: 99%

Section: A State Of Art On the Leonardo Sequence: Panorama Of Current...mentioning

confidence: 99%

State of the art on the Leonardo sequence: An evolutionary study of the epistemic-mathematical field

Mangueira,

Alves,

Catarino

et al. 2024

PEDAGOGICAL RES

View full text Add to dashboard Cite

show abstract

Hyper-Leonardo Hybrinomials

Cited by 1 publication

References 25 publications

State of the art on the Leonardo sequence: An evolutionary study of the epistemic-mathematical field

State of the art on the Leonardo sequence: An evolutionary study of the epistemic-mathematical field

Contact Info

Product

Resources

About