EN
On Gaussian Jacobsthal-Padovan Numbers
Abstract
Gaussian Jacobsthal-Padovan numbers have been the central focus of this paper and firstly this number sequence has defined. Later, we have given the proof of the generating function of the Gaussian Jacobsthal-Padovan sequence. After that by using generating function, we have given the proof of the Binet formula for this number sequence. Additionally, we have investigated some properties such as Simson identity, summation formulas of this sequence. Finally, we have obtained some matrices whose elements are Gaussian Jacobsthal-Padovan numbers.
Keywords
References
- [1] Koshy T., Fibonacci and Lucas numbers with applications. New York: John Wiley and Sons Inc., (2001).
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- [3] Koshy T., Pell and Pell-Lucas numbers with applications. New York: Springer, (2014).
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- [5] Koshy T., Jacobsthal and Jacobsthal-Lucas numbers with applications. New York: John Wiley and Sons Inc., (2001).
- [6] Jordan J.H., Gaussian Fibonacci and Lucas Numbers, Fibonacci Quarterly, 3 (1965) 315-318.
- [7] Halıcı S., Öz S., On Some Gaussian Pell and Pell-Lucas Numbers, Ordu University Journal of Science and Technology, 6 (1) (2016) 8-18.
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Publication Date
June 29, 2022
Submission Date
November 18, 2021
Acceptance Date
April 13, 2022
Published in Issue
Year 2022 Volume: 43 Number: 2
APA
Karaaslan, N. (2022). On Gaussian Jacobsthal-Padovan Numbers. Cumhuriyet Science Journal, 43(2), 277-282. https://doi.org/10.17776/csj.1025269
AMA
1.Karaaslan N. On Gaussian Jacobsthal-Padovan Numbers. CSJ. 2022;43(2):277-282. doi:10.17776/csj.1025269
Chicago
Karaaslan, Nusret. 2022. “On Gaussian Jacobsthal-Padovan Numbers”. Cumhuriyet Science Journal 43 (2): 277-82. https://doi.org/10.17776/csj.1025269.
EndNote
Karaaslan N (June 1, 2022) On Gaussian Jacobsthal-Padovan Numbers. Cumhuriyet Science Journal 43 2 277–282.
IEEE
[1]N. Karaaslan, “On Gaussian Jacobsthal-Padovan Numbers”, CSJ, vol. 43, no. 2, pp. 277–282, June 2022, doi: 10.17776/csj.1025269.
ISNAD
Karaaslan, Nusret. “On Gaussian Jacobsthal-Padovan Numbers”. Cumhuriyet Science Journal 43/2 (June 1, 2022): 277-282. https://doi.org/10.17776/csj.1025269.
JAMA
1.Karaaslan N. On Gaussian Jacobsthal-Padovan Numbers. CSJ. 2022;43:277–282.
MLA
Karaaslan, Nusret. “On Gaussian Jacobsthal-Padovan Numbers”. Cumhuriyet Science Journal, vol. 43, no. 2, June 2022, pp. 277-82, doi:10.17776/csj.1025269.
Vancouver
1.Nusret Karaaslan. On Gaussian Jacobsthal-Padovan Numbers. CSJ. 2022 Jun. 1;43(2):277-82. doi:10.17776/csj.1025269