Abstract
In this paper, we derive new summation identities involving the (products of) Fibonacci quaternions by the method of summation-by-parts. We apply our method to derive summation identities which involve the (products of) hyperFibonacci quater-nions. By using the method of generating functions, we derive convolution-sum identities for the Fibonacci quaternions. Finally, we derive binomial-sum identities for the Fibonacci quaternions by matrix method.
| Original language | English |
|---|---|
| Pages (from-to) | 13-37 |
| Number of pages | 25 |
| Journal | Journal of Algebra and Applied Mathematics |
| Volume | 19 |
| Issue number | 1 |
| Publication status | Published - Mar 2021 |
Keywords
- Binomial-sum identity
- Fibonacci quaternions
- Fibonacci sequence
- Summation identity
ASJC Scopus subject areas
- Algebra and Number Theory
- Discrete Mathematics and Combinatorics
- Computational Mathematics
- Applied Mathematics