On the Split Mersenne and Mersenne-Lucas Hybrid Quaternions
Main Article Content
Abstract
In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.
Received 21/1/2023
Revised 18/2/2023
Accepted 19/2/2023
Published 1/3/2023
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
References
Hamdi RF. Derivation Power Sums of Even Integer Number Formula. Baghdad Sci J. 2013; 10(2): 301-318. https://doi.org/10.21123/bsj.2013.10.2.301-318
Baddai SA. A Generalization of t- Practical Numbers. Baghdad Sci J. 2020; 17(4): 1250-1254. https://doi.org/10.21123/bsj.2020.17.4.1250
Caterino P, Compos H, Vasco P. On the Mersenne Sequences. Ann Math Inform. 2016; 46: 37-53. http://publikacio.uni-eszterhazy.hu/3253/1/AMI_46_from37to53.pdf
Devi BM, Devibala S. Some Sums Formulae for Products of Terms of Mersenne and Mersenne-Lucas Numbers. Adalya J. 2021; 10(8): 74-79. DOI: https://doi.org/10.37896/aj9.8/008
Ozdemir M. Introduction to Hybrid Numbers. Adv Appl Clifford Algebras. 2018; 28(11). https://doi.org/10.1007/s00006-018-0833-3
Dagdeviren A, Kuruz F. ON The Horadam Hybrid Quaternions. arXiv preprint arXiv:2012.08277. 2020 Dec 15: 1-10. https://arxiv.org/pdf/2012.08277
Szynal-Liana A, Wloch I. On Jacobsthal and Jacobsthal-Lucas Hybrid Numbers. Ann Math Sil. 2019; 33(1): 276-283. https://doi.org/10.2478/amsil-2018-0009
Cimen CB, Ipek A. On Pell Quaternions and Pell-Lucas Quaternions. Adv Appl Clifford Algebras. 2016; 26(1): 39-51. https://doi.org/10.1007/s00006-015-0571-8
Tasci D. Padovan and Pell-Padovan Quaternions. J Sci Arts. 2018; 18(1(42)): 125-132.
Devi BM, Devibala S. On the Mersenne and Mersenne -Lucas Hybrid Quaternions. Adv Appl Math Sci. 2022; 21(8): 4585-4594. https://www.mililink.com/upload/article/1256868016aams_vol_218_june_2022_a32_p4585-4594_b._malini_devi_and_s._devibala.pdf
Cockle J. On Systems of Algebra Involving More than One Imaginary; and on Equations of the Fifth Degree. Lond Edinb Dublin Philos Mag. 1849; 35(238): 434-437. https://doi.org/10.1080/14786444908646384
Yagmur T. Split Jacobsthal and Jacobsthal-Lucas Quaternions. Commu Math Appl. 2019; 10(3): 429-438. https://doi.org/10.26713/cma.v10i3.902