THE h(x)-JACOBSTHAL OCTONION POLYNOMIALS
Asian Journal of Mathematics and Computer Research, Volume 28, Issue 3,
In this paper, h(x)-Jacobsthal octonion polynomials to generalize both k-Jacobsthal octonion numbers and Horadam's Jacobsthal octonion polynomials have been defined. In addition,the generating function of h(x)-Jacobsthal Octonion polynomials as well as the Binet's formula for these octonion polynomials have been defined and explained further.Additionally, the generating function of h(x)-Jacobsthal octonion polynomial sequence has been found.In addition,this reseach can be beneficial for reseachers who are interested in such mathematical domain and formula as well as can be more beneficial for students and learners.
- k-Jacobsthal sequence
- h(x)-Jacobsthal polynomial
- Jacobsthal octonion
- h(x)-Jacobsthal octonion polynomials
- the Genrating function for Jacobsthal octonion polynomials
How to Cite
Cimen CB, Ipek A. On Jacobsthal and Jacobsthal-Lucas Octonions. Mediterranean Journal of Mathematics. 2017;14:37.
Torunbalc-Aydn F, Yce S. A new approach to Jacobsthal quaternions. Filomat. 2017;31(18):5567-5579.
Appropriate S, Eldogan H. k-Jacobsthal and k-Jacobsthal Lucas matrix sequences. In International Mathematical Forum. 2016;11(3):145-154.
Catarino P. A note on h(x)-Fibonacci quaternion polynomials. Chaos Solitons, Fractals. 2015;77:1-5.
Yasarsoy S, Acikgoz M, Duran U. A study on the k-Jacobsthal and k-Jacobsthal Lucas Quaternions and Octonions. J. Ana. Num. Theor. 2018;6(2):1-7.
Campos H, Catarino P, Aires AP, Vasco P, Borges A. On some identities of k-Jacobsthal-Lucas Numbers. Int. Journal of Math. Analysis. 2014;8(10):489-494.
Jhala D, Sisodiya K, Rathore GPS. On some identities For k-Jacobsthal Numbers. Int. J. Math. Anal.(Ruse). 2013;7(9-12):551-556.
Catarino P. On Generalized Jacobsthal and Jacobsthal-Lucas polynomials.Analele Stiintice ale Universitatii Ovidius Constanta, Seria Matematica. 2016;24(3):61-78.
Karata A, Halici S. Horadam octonions. arXiv preprint arXiv:1611.10143; 2016.
Uygun S, Eldogan H. Properties of k-Jacobsthal and k-Jacobsthal Lucas sequences. General Mathematics Notes. 2016;36(1):34-47.
Nalli A, Haukkanen P. On generalized Fibonacci and Lucas polynomials. Chaos, Solitons Fractals. 2009;42(5):3179-3186.
Ipek A, Ar K. On h(x)-Fibonacci octonion polynomials. Alabama Journal of Mathematics. 2015;39:1-6.
Keiliolu O, Akkus I. The Fibonacci octonions. Advances in Applied Cliord Algebras. 2015;25(1):151-158.
ztrk A, Porsuk A. Some remarks regarding the (p; q)? Fibonacci and Lucas octonion polynomials. Universal Journal of Mathematics and Applications. 2018;1(1):46-53.
Abstract View: 503 times
PDF Download: 5 times