ON THE k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS

ON THE k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS

This paper aims to introduce the k-Mersenne and k-Mersenne-Lucas octonions. We investigate the algebraic properties of these octonions in closed form and give some well-known identities like Catalan identity, d'Ocagne identity, Simson identity, etc. Moreover, we present various generating funct...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2024-01, Vol.14 (3), p.1218
Hauptverfasser: Kumari, M, Prasad, K, Mahato, H
Format: Artikel
Sprache:eng
Schlagworte:
Graphs
Labeling
Mathematics
Matrix representation
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Zusammenfassung:This paper aims to introduce the k-Mersenne and k-Mersenne-Lucas octonions. We investigate the algebraic properties of these octonions in closed form and give some well-known identities like Catalan identity, d'Ocagne identity, Simson identity, etc. Moreover, we present various generating functions and partial sum formulae for these octonions. Lastly, we study the combined identities and matrix representation for these octonions.
ISSN:2146-1147