Dual-complex k-Pell quaternions

Fügen Torunbalcı Aydın

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arXiv · 1810.05002

Dual-complex k-Pell quaternions

Fügen Torunbalcı Aydın

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Abstract

In this paper, dual-complex k-Pell numbers and dual-complex k-Pell quaternions are defined. Also, some algebraic properties of dual-complex k-Pell numbers and quaternions which are connected with dual-complex numbers and k-Pell numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these quaternions are given.

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Fügen Torunbalcı Aydın. 2018-09-25. Dual-complex k-Pell quaternions. https://arxiv.org/abs/1810.05002

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