Octonions and hyperbolic octonions with the k-balancing and k-Lucas balancing numbers

被引：1
|
作者：
Prasad, Kalika [1 ,2 ]
Kumari, Munesh [1 ,2 ]
Tanti, Jagmohan [3 ]
机构：
[1] Cent Univ Jharkhand, Dept Math, Ranchi 835205, India
[2] Govt Engn Coll Bhojpur, Dept Math, Bihar 802301, India
[3] Babasaheb Bhimrao Ambedkar Univ, Dept Math, Lucknow 226025, India
来源：
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期
关键词：
k-balancing octonions; k-balancing hyperbolic octonions; Binet's formula; Catalan's identity; Generating functions; FIBONACCI; JACOBSTHAL; IDENTITIES;
D O I：
10.1007/s41478-023-00716-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the k-balancing and k-Lucas balancing octonions and hyperbolic octonions. We give Binet type formulas of them and obtain some well-known identities like Cassini's identity, d'Ocagne's identity, Catalan identity, Vajda's identity, generating functions, etc. for these octonions in closed form. Also we present some interesting properties of them. As a special case fork 1/41, the results immediately follow for balancing and Lucas-balancing octonions and hyperbolic octonions.
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页码：1281 / 1296
页数：16
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