On Balancing and Lucas-balancing Quaternions
Bijan Kumar Patel; Prasanta Kumar Ray
Communications in Mathematics (2021)
- Volume: 29, Issue: 3, page 325-341
- ISSN: 1804-1388
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topPatel, Bijan Kumar, and Ray, Prasanta Kumar. "On Balancing and Lucas-balancing Quaternions." Communications in Mathematics 29.3 (2021): 325-341. <http://eudml.org/doc/297538>.
@article{Patel2021,
abstract = {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.},
author = {Patel, Bijan Kumar, Ray, Prasanta Kumar},
journal = {Communications in Mathematics},
keywords = {Recurrence relations; Balancing numbers; Lucas-balancing numbers; Quaternions},
language = {eng},
number = {3},
pages = {325-341},
publisher = {University of Ostrava},
title = {On Balancing and Lucas-balancing Quaternions},
url = {http://eudml.org/doc/297538},
volume = {29},
year = {2021},
}
TY - JOUR
AU - Patel, Bijan Kumar
AU - Ray, Prasanta Kumar
TI - On Balancing and Lucas-balancing Quaternions
JO - Communications in Mathematics
PY - 2021
PB - University of Ostrava
VL - 29
IS - 3
SP - 325
EP - 341
AB - 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.
LA - eng
KW - Recurrence relations; Balancing numbers; Lucas-balancing numbers; Quaternions
UR - http://eudml.org/doc/297538
ER -
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