EN
On Third Order Hyperbolic Jacobsthal Numbers
Abstract
In this paper, we introduce the hyperbolic third order Jacobsthal and Jacobsthal-Lucas numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers.
Keywords
References
- [1] Horadam, A. F. “Jacobsthal Representation Numbers.” Fib. Quart. 34, 40-54, 1996.
- [2] Sobczyk, G.. The Hyperbolic Number Plane, The College Mathematics Journal, 26(4), (1995) 268–280.
- [3] A. E. Motter and A. F. Rosa, Hyperbolic calculus, Adv. Appl. Clifford Algebr., 8(1), (1998), 109-128.
- [4] F. Torunbalcı Aydın, On generalisations of the Jacobsthal Sequence, Notes on Number Theory and Discrete Mathematics, Online ISSN
- [5] F. Torunbalcı Aydın, Hyperbolic Fibonacci Sequence, Universal Journal of Mathematics and Applications, Cilt 2, Sayı 2, (2019), 59-62.
- [6] Y.Soykan, On Dual Hyperbolic Generalized Fibonacci Numbers. Preprints (2019), 2019100172 (doi: 10.20944/preprints201910.0172.v1).
- [7] Y. Soykan, ve M. G¨ocen, Properties of hyperbolic generalized Pell numbers. Notes on Number Theory and Discrete Mathematics,Vol. 26, (2020), No. 4, 136–153.
- [8] C. M. Dikmen, Hyperbolic Jacobsthal Numbers, Asian Research Journal of Mathematics, 15 (4) (2019), 1-9. https://doi.org/10.9734/arjom/2019/v15i430153
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 15, 2022
Submission Date
April 7, 2021
Acceptance Date
June 23, 2021
Published in Issue
Year 2022 Volume: 10 Number: 1
APA
Dikmen, C. M., & Altınsoy, M. (2022). On Third Order Hyperbolic Jacobsthal Numbers. Konuralp Journal of Mathematics, 10(1), 118-126. https://izlik.org/JA99MK49WH
AMA
1.Dikmen CM, Altınsoy M. On Third Order Hyperbolic Jacobsthal Numbers. Konuralp J. Math. 2022;10(1):118-126. https://izlik.org/JA99MK49WH
Chicago
Dikmen, Can Murat, and Mustafa Altınsoy. 2022. “On Third Order Hyperbolic Jacobsthal Numbers”. Konuralp Journal of Mathematics 10 (1): 118-26. https://izlik.org/JA99MK49WH.
EndNote
Dikmen CM, Altınsoy M (April 1, 2022) On Third Order Hyperbolic Jacobsthal Numbers. Konuralp Journal of Mathematics 10 1 118–126.
IEEE
[1]C. M. Dikmen and M. Altınsoy, “On Third Order Hyperbolic Jacobsthal Numbers”, Konuralp J. Math., vol. 10, no. 1, pp. 118–126, Apr. 2022, [Online]. Available: https://izlik.org/JA99MK49WH
ISNAD
Dikmen, Can Murat - Altınsoy, Mustafa. “On Third Order Hyperbolic Jacobsthal Numbers”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 118-126. https://izlik.org/JA99MK49WH.
JAMA
1.Dikmen CM, Altınsoy M. On Third Order Hyperbolic Jacobsthal Numbers. Konuralp J. Math. 2022;10:118–126.
MLA
Dikmen, Can Murat, and Mustafa Altınsoy. “On Third Order Hyperbolic Jacobsthal Numbers”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 118-26, https://izlik.org/JA99MK49WH.
Vancouver
1.Can Murat Dikmen, Mustafa Altınsoy. On Third Order Hyperbolic Jacobsthal Numbers. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):118-26. Available from: https://izlik.org/JA99MK49WH
