Geodesic
On Balancing and Lucas-balancing Quaternions
Communications in Mathematics, Tome 29 (2021) no. 3, pp. 325-341

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The aim of this article is to investigate two new classes of quaternions, namely, balancing and Lucas-balancing quaternions that are based on balancing and Lucas-balancing numbers, respectively. Further, some identities including Binet's formulas, summation formulas, Catalan's identity, etc. concerning these quaternions are also established.
Classification : 11B37, 11B39, 20G20
Keywords: Recurrence relations; Balancing numbers; Lucas-balancing numbers; Quaternions 
@article{COMIM_2021__29_3_a0,
     author = {Patel, Bijan Kumar and Ray, Prasanta Kumar},
     title = {On {Balancing} and {Lucas-balancing} {Quaternions}},
     journal = {Communications in Mathematics},
     pages = {325--341},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2021},
     mrnumber = {4355416},
     zbl = {07484371},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a0/}
}
TY  - JOUR
AU  - Patel, Bijan Kumar
AU  - Ray, Prasanta Kumar
TI  - On Balancing and Lucas-balancing Quaternions
JO  - Communications in Mathematics
PY  - 2021
SP  - 325
EP  - 341
VL  - 29
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a0/
LA  - en
ID  - COMIM_2021__29_3_a0
ER  - 
%0 Journal Article
%A Patel, Bijan Kumar
%A Ray, Prasanta Kumar
%T On Balancing and Lucas-balancing Quaternions
%J Communications in Mathematics
%D 2021
%P 325-341
%V 29
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a0/
%G en
%F COMIM_2021__29_3_a0
Patel, Bijan Kumar; Ray, Prasanta Kumar. On Balancing and Lucas-balancing Quaternions. Communications in Mathematics, Tome 29 (2021) no. 3, pp. 325-341. http://geodesic.mathdoc.fr/item/COMIM_2021__29_3_a0/