Geodesic
On a new generalization of Jacobsthal quaternions and several identities involving these numbers
Commentationes Mathematicae, Tome 59 (2019) no. 1-2, p. 33−45.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we generalize Jacobsthal quaternions to \((s,p)\)\dywiz Jacobsthal quaternions. We give some of their properties, among others the Binet formula, the generating function and the matrix representation of these quaternions. We will show how a~graph interpretation can be used in proving some identities for quaternions.
DOI : 10.14708/cm.v59i1-2.6492
Classification : 11B37, 11R52
Mots-clés : Jacobsthal numbers, Jacobsthal quaternions, recurrence relations, generating functions 
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Dorota Bród; Anetta Szynal-Liana. On a new generalization of Jacobsthal quaternions and several identities involving these numbers. Commentationes Mathematicae, Tome 59 (2019) no. 1-2, p.  33−45. doi : 10.14708/cm.v59i1-2.6492. http://geodesic.mathdoc.fr/articles/10.14708/cm.v59i1-2.6492/

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