Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1888387 | Chaos, Solitons & Fractals | 2016 | 4 Pages |
Abstract
In this paper, we present a new generalization of the Fibonacci quaternions that are emerged as a generalization of the best known quaternions in the literature, such as classical Fibonacci quaternions, Pell quaternions, k -Fibonacci quaternions. We give the generating function and the Binet formula for these quaternions. By using the Binet formula, we obtain some well-known results. Also, we correct some results in [3] and [4] which have been overlooked that the quaternion multiplication is non commutative.
Keywords
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Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Elif Tan, Semih Yilmaz, Murat Sahin,