ON SOME ALGEBRAIC PROPERTIES OF THE HYPER-DUAL BICOMPLEX JACOBSTHAL QUATERNIONS

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Çimen C.

JOURNAL OF SCIENCE AND ARTS, vol.25, no.4, pp.699-708, 2025 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 25 Issue: 4
• Publication Date: 2025
• Doi Number: 10.46939/j.sci.arts-25.4-a04
• Journal Name: JOURNAL OF SCIENCE AND ARTS
• Page Numbers: pp.699-708
• Hacettepe University Affiliated: Yes

Abstract

In this article, we define the hyper-dual bicomplex Jacobsthal quaternions. We give some properties of these quaternions. Moreover, we investigate the Binet formula and calculate Vajda’s identity, Catalan’s identity, Cassini’s identity, d’Ocagne’s identity, and generating functions for hyper-dual bicomplex Jacobsthal quaternions.