On a new generalization of split Pell quaternions

Dorota Bród. "On a new generalization of split Pell quaternions." Mathematica Applicanda 47.2 (2019): null. <http://eudml.org/doc/295492>.

@article{DorotaBród2019,
abstract = {In this paper we introduce and study a generalization of the split Pell quaternions - split r-Pell quaternions. We give some identities, among others Binet's formula, Catalan's, Cassini's and d'Ocagne's identity for these numbers.},
author = {Dorota Bród},
journal = {Mathematica Applicanda},
keywords = {Pell numbers; quaternion; split quaternion; split Pell quaternion; split r-Pell quaternion},
language = {eng},
number = {2},
pages = {null},
title = {On a new generalization of split Pell quaternions},
url = {http://eudml.org/doc/295492},
volume = {47},
year = {2019},
}

TY - JOUR
AU - Dorota Bród
TI - On a new generalization of split Pell quaternions
JO - Mathematica Applicanda
PY - 2019
VL - 47
IS - 2
SP - null
AB - In this paper we introduce and study a generalization of the split Pell quaternions - split r-Pell quaternions. We give some identities, among others Binet's formula, Catalan's, Cassini's and d'Ocagne's identity for these numbers.
LA - eng
KW - Pell numbers; quaternion; split quaternion; split Pell quaternion; split r-Pell quaternion
UR - http://eudml.org/doc/295492
ER -