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

Dorota Bród, and Anetta Szynal-Liana. "On a new generalization of Jacobsthal quaternions and several identities involving these numbers." Commentationes Mathematicae 59.1-2 (2019): null. <http://eudml.org/doc/295395>.

@article{DorotaBród2019,
abstract = {In this paper we generalize Jacobsthal quaternions to $(s,p)$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.},
author = {Dorota Bród, Anetta Szynal-Liana},
journal = {Commentationes Mathematicae},
keywords = {Jacobsthal numbers; Jacobsthal quaternions; recurrence relations; generating functions},
language = {eng},
number = {1-2},
pages = {null},
title = {On a new generalization of Jacobsthal quaternions and several identities involving these numbers},
url = {http://eudml.org/doc/295395},
volume = {59},
year = {2019},
}

TY - JOUR
AU - Dorota Bród
AU - Anetta Szynal-Liana
TI - On a new generalization of Jacobsthal quaternions and several identities involving these numbers
JO - Commentationes Mathematicae
PY - 2019
VL - 59
IS - 1-2
SP - null
AB - In this paper we generalize Jacobsthal quaternions to $(s,p)$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.
LA - eng
KW - Jacobsthal numbers; Jacobsthal quaternions; recurrence relations; generating functions
UR - http://eudml.org/doc/295395
ER -