| Issue |
ITM Web Conf.
Volume 67, 2024
The 19th IMT-GT International Conference on Mathematics, Statistics and Their Applications (ICMSA 2024)
|
|
|---|---|---|
| Article Number | 01035 | |
| Number of page(s) | 9 | |
| Section | Mathematics, Statistics and Their Applications | |
| DOI | https://doi.org/10.1051/itmconf/20246701035 | |
| Published online | 21 August 2024 | |
Some Properties of Hyperbolic k-Narayana Quaternions
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
* e-mail: tanupat_pet@cmu.ac.th
** e-mail: narawadee.nanan@cmu.ac.th
In this paper, we introduced the hyperbolic k-Narayana quaternions. Several properties of these quaternions are investigated, including the Binet formulas, generating functions, and summation formulas. Moreover, some identities such as Catalan, Cassini, and d’Ocagne are obtained. Our results extend and generalize well-known theorems.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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