On Gaussian Balancing and Gaussian Cobalancing Quaternions

Abstract

In this paper, we present and study new kinds of sequence of quaternion numbers called as Gaussian Balancing and Gaussian Cobalancing Quaternions involving some interesting results, Binet formula and generating functions. We show matrix representations for these quaternions. Thus, we have carried the quaternions to the complex space.

Keywords

• Balancing numbers
• cobalancing numbers
• gaussian balancing numbers
• gaussian cobalancing numbers
• gaussian balancing quaternions
• gaussian cobalancing quaternions
• matrix representations

References

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