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
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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
@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},
     year = {2022},
     volume = {72},
     number = {4},
     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
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
%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

[1] Çimen, C. B., İpek, A.: On Pell quaternions and Pell-Lucas quaternions. Adv. Appl. Clifford Algebr. 26 (2016), 39-51 \99999DOI99999 10.1007/s00006-015-0571-8 . | DOI | MR | JFM

[2] Halici, S.: On Fibonacci quaternions. Adv. Appl. Clifford Algebr. 22 (2012), 321-327. | DOI | MR | JFM

[3] Horadam, A. F.: Complex Fibonacci numbers and Fibonacci quaternions. Am. Math. Mon. 70 (1963), 289-291. | DOI | MR | JFM

[4] Horadam, A. F.: Jacobsthal and Pell curves. Fibonacci Q. 26 (1988), 77-83. | MR | JFM

[5] Horadam, A. F.: Jacobsthal representation numbers. Fibonacci Q. 34 (1996), 40-54. | MR | JFM

[6] Iyer, M. R.: A note on Fibonacci quaternions. Fibonacci Q. 7 (1969), 225-229. | MR | JFM

[7] Szynal-Liana, A., Włoch, I.: A note on Jacobsthal quaternions. Adv. Appl. Clifford Algebr. 26 (2016), 441-447. | DOI | MR | JFM

[8] Szynal-Liana, A., Włoch, I.: The Pell quaternions and the Pell octonions. Adv. Appl. Clifford Algebr. 26 (2016), 435-440. | DOI | MR | JFM

[9] Szynal-Liana, A., Włoch, I.: Generalized commutative quaternions of the Fibonacci type. Bol. Soc. Mat. Mex., III. Ser. 28 (2022), Article ID 1, 9 pages. | DOI | MR | JFM

[10] Tasci, D.: On $k$-Jacobsthal and $k$-Jacobsthal-Lucas quaternions. J. Sci. Arts 3 (2017), 469-476.

Cité par Sources :