复杂的纳兰四元数

Pub Date : 2024-09-01 DOI:10.1134/s0965542524700738

Çağla Çelemoğlu

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引用次数: 0

摘要

摘要在这里，我们首先介绍复数纳拉亚纳数。然后，我们描述了一个新的四元数列，其系数由复数纳拉扬那数组成，我们用复数纳拉扬那四元数将其命名。我们还给出了这些序列的生成函数、指数生成函数、比内公式和求和公式。最后，我们得到了复纳拉扬四元数的矩阵表示，并提出了与复纳拉扬四元数的矩阵表示有关的应用。

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Complex Narayana Quaternions

Abstract

Here, we first introduce complex Narayana numbers. Then, we describe a new quaternion sequence whose coefficients consist of complex Narayana numbers and that we named with complex Narayana quaternions. We also give the generating function, exponential generating function, Binet formula, and summation formulas for these sequences. Finally, we obtain a matrix representation of complex Narayana quaternions and make an application related to the matrix representation of complex Narayana quaternions.

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