On the Mersenne and Mersenne-Lucas hybrid quaternions

∗. Engin¨OZKAN, M. Uysal
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Abstract

In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions.
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关于梅森和梅森-卢卡斯混合四元数
本文定义了梅森四元数、梅森-卢卡斯混合四元数。我们给出了这些四元数的比奈公式、生成函数、指数生成函数和和公式。我们发现了梅森-卢卡斯混合四元数、雅各布斯塔尔混合四元数、雅各布斯塔尔-卢卡斯混合四元数和梅森混合四元数之间的一些关系。
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Minimal number of sensors for 3D coverage On the Mersenne and Mersenne-Lucas hybrid quaternions Almost η-Ricci solitons on two classes of almost Kenmotsu manifolds Updated Ostrowski inequalities over a spherical shell An optimized Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms
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