On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions
Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1239-1248
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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.
DOI :
10.21136/CMJ.2022.0174-22
Classification :
11B37, 11B39
Keywords: Jacobsthal number; Jacobsthal-Lucas number; quaternion; generalized quaternion; Binet formula
Keywords: Jacobsthal number; Jacobsthal-Lucas number; quaternion; generalized quaternion; Binet formula
@article{10_21136_CMJ_2022_0174_22,
author = {Br\'od, Dorota and Szynal-Liana, Anetta and W{\l}och, Iwona},
title = {On some combinatorial properties of generalized commutative {Jacobsthal} quaternions and generalized commutative {Jacobsthal-Lucas} quaternions},
journal = {Czechoslovak Mathematical Journal},
pages = {1239--1248},
publisher = {mathdoc},
volume = {72},
number = {4},
year = {2022},
doi = {10.21136/CMJ.2022.0174-22},
mrnumber = {4517611},
zbl = {07655798},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0174-22/}
}
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 SP - 1239 EP - 1248 VL - 72 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0174-22/ DO - 10.21136/CMJ.2022.0174-22 LA - en ID - 10_21136_CMJ_2022_0174_22 ER -
%0 Journal Article %A Bród, Dorota %A Szynal-Liana, Anetta %A Włoch, Iwona %T On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions %J Czechoslovak Mathematical Journal %D 2022 %P 1239-1248 %V 72 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2022.0174-22/ %R 10.21136/CMJ.2022.0174-22 %G en %F 10_21136_CMJ_2022_0174_22
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona. On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. Czechoslovak Mathematical Journal, Tome 72 (2022) no. 4, pp. 1239-1248. doi: 10.21136/CMJ.2022.0174-22
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