q-Fibonacci bicomplex quaternions
F\"ugen Torunbalci Aydin
TL;DR
This paper introduces the $q$-Fibonacci and $q$-Lucas bicomplex quaternions, exploring their algebraic properties and extending quaternionic number systems with q-analogues.
Contribution
The paper defines new $q$-Fibonacci and $q$-Lucas bicomplex quaternions and investigates their algebraic properties, expanding quaternionic algebra with q-analogues.
Findings
Defined $q$-Fibonacci bicomplex quaternions
Defined $q$-Lucas bicomplex quaternions
Established algebraic properties of these quaternions
Abstract
In the paper, we define the -Fibonacci bicomplex quaternions and the -Lucas bicomplex quaternions, respectively. Then, we give some algebraic properties of -Fibonacci bicomplex quaternions and the -Lucas bicomplex quaternions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Combinatorial Mathematics · Fractal and DNA sequence analysis