On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions
Dorota Bród; Anetta Szynal-Liana; Iwona Włoch
Czechoslovak Mathematical Journal (2022)
- Volume: 72, Issue: 4, page 1239-1248
- ISSN: 0011-4642
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topBród, Dorota, Szynal-Liana, Anetta, and Włoch, Iwona. "On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions." Czechoslovak Mathematical Journal 72.4 (2022): 1239-1248. <http://eudml.org/doc/298913>.
@article{Bród2022,
abstract = {We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.},
author = {Bród, Dorota, Szynal-Liana, Anetta, Włoch, Iwona},
journal = {Czechoslovak Mathematical Journal},
keywords = {Jacobsthal number; Jacobsthal-Lucas number; quaternion; generalized quaternion; Binet formula},
language = {eng},
number = {4},
pages = {1239-1248},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions},
url = {http://eudml.org/doc/298913},
volume = {72},
year = {2022},
}
TY - JOUR
AU - Bród, Dorota
AU - Szynal-Liana, Anetta
AU - Włoch, Iwona
TI - On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1239
EP - 1248
AB - We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.
LA - eng
KW - Jacobsthal number; Jacobsthal-Lucas number; quaternion; generalized quaternion; Binet formula
UR - http://eudml.org/doc/298913
ER -
References
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- Szynal-Liana, A., Włoch, I., 10.1007/s40590-021-00386-4, Bol. Soc. Mat. Mex., III. Ser. 28 (2022), Article ID 1, 9 pages. (2022) Zbl1479.11040MR4343010DOI10.1007/s40590-021-00386-4
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