The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Cerda-Morales Gamaliel¹ 

[1] Institute of Mathematics, Pontificia Universidad Católica de Valparaíso, Blanco Viel 596, Cerro Barón, Valparaíso, Chile.;

关键词: third order jacobsthal numbers;    third order jacobsthal-lucas numbers;    third order jacobsthal octonions;    third order jacobsthal-lucas octonions;    octonion algebra;    primary 11b39;    secondary 11r52, 05a15;   

DOI  :  10.2478/auom-2018-0033

来源: DOAJ

【 摘 要 】

Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways. In addition, formulas and identities involving these number sequences have been presented. In this paper, we aim at establishing new classes of octonion numbers associated with the third order Jacobsthal and third order Jacobsthal-Lucas numbers. We introduce the third order Jacobsthal octonions and the third order Jacobsthal-Lucas octonions and give some of their properties. We derive the relations between third order Jacobsthal octonions and third order Jacobsthal-Lucas octonions.

【 授权许可】

Unknown