On the Bicomplex $k$-Fibonacci Quaternions

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications in Advanced Mathematical Sciences
Volume:2 Issue:3
On the Bicomplex $k$-Fibonacci Quaternions

On the Bicomplex $k$-Fibonacci Quaternions

Authors : Fügen TORUNBALCI AYDIN

Pages : 227-234

Doi:10.33434/cams.542704

View : 17 | Download : 7

Publication Date : 2019-09-30

Article Type : Research Paper

Abstract :In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated. For example, the summation formula, generating functions, Binet`s formula, the Honsberger identity, the d`Ocagne`s identity, Cassini`s identity, Catalan`s identity for these quaternions are given. In the last part, a different way to find $n-th$ term of the bicomplex $k$-Fibonacci quaternion sequence was given using the determinant of a tridiagonal matrix.
Keywords : Bicomplex number, k Fibonacci number, Bicomplex Fibonacci quaternion, Bicomplex k Fibonacci quaternion, Tridiagonal matrix

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.