On a new generalization of Jacobsthal quaternions and several identities involving these numbers

• Autorzy: Dorota Bród , Anetta Szynal-Liana
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Jacobsthal numbers; Jacobsthal quaternions; recurrence relations; generating functions

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2019
• Tom: 59
• Numer: 1-2

Daty

wydano

2019

online

2020-02-13

Twórcy

autor

Dorota Bród

autor

Anetta Szynal-Liana

Identyfikatory

DOI

10.14708/cm.v59i1-2.6492