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Identities for third order Jacobsthal quaternions

Published 21 Jun 2017 in math.CO | (1706.08989v1)

Abstract: In this paper we introduce the third order Jacobsthal quaternions and the third order Jacobsthal-Lucas quaternions and give some of their properties. We derive the relations between third order Jacobsthal numbers and third order Jacobsthal quaternions and we give the matrix representation of these quaternions.

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