On Gaussian Balancing and Gaussian Cobalancing Quaternions

Year 2021, Volume: 13 Issue: 1, 174 - 181, 30.06.2021

M. Aşçı Süleyman Aydınyüz

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

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