Gauss Narayana-Lucas Sayıları Üzerine

Nusret Karaaslan; Merve Nur Fazlıoğlu

doi:10.29002/asujse.1020770

EN TR

Gauss Narayana-Lucas Sayıları Üzerine

Öz

Bu çalışmada, Gauss Narayana-Lucas sayı dizisi tanıtıldı ve incelendi. İlk olarak Narayana-Lucas sayı dizisi genişletilerek Gauss Narayana-Lucas sayı dizisi tanımlanmıştır. Daha sonra bu sayı dizisine ait üreteç fonksiyonu ve Binet formülü elde edilmiştir. Ayrıca Gauss Narayana-Lucas sayı dizisi ile ilgili bazı toplam formülleri ve bu dizinin terimlerini içeren bazı matrisler araştırılmıştır. Son olarak Gauss Narayana ile Gauss Narayana-Lucas sayı dizileri arasında bazı ilişkiler elde edilmiştir.

Anahtar Kelimeler

References

[1] T. Koshy, Fibonacci and Lucas Numbers with Applications (John Wiley and Sons Inc., New York, 2001) pp. 51-131.
[2] V. E. Hoggatt Jr., Fibonacci and Lucas Numbers (Houghton Mifflin, Boston, 1969).
[3] T. Koshy, Pell and Pell-Lucas Numbers with Applications (Springer, New York, 2014).
[4] T. Yağmur, New Approach to Pell and Pell-Lucas Sequences. Kyungpook Mathematical Journal 59(1) (2019) 23-34.
[5] A. F. Horadam, Jacobsthal Representation Numbers. Fibonacci Quarterly 34 (1996) 40-54.
[6] A. F. Horadam, Complex Fibonacci Numbers and Fibonacci Quaternions. American Mathematics Monthly 70 (1963) 289-291.
[7] I. J. Good, Complex Fibonacci and Lucas Numbers, Continued Fractions, and the Square Root of the Golden Ratio. Fibonacci Quarterly 31(1) (1993) 7-20.
[8] J. H. Jordan, Gaussian Fibonacci and Lucas Numbers. Fibonacci Quarterly 3 (1965) 315-318.

[9] S. Halıcı, S. Öz, On Gaussian Pell and Pell-Lucas Numbers. Ordu University Science and Technology Journal 6(1) (2016) 8-18.
[10] T. Yağmur, N. Karaaslan, Gaussian Modified Pell Sequence and Gaussian Modified Pell Polynomial Sequence. Aksaray University Journal of Science and Engineering 2(1) (2018) 63-72.
[11] M. Aşçı, E. Gürel, Gaussian Jacobsthal and Gaussian Jacobsthal-Lucas Numbers. Ars Combinatoria 111 (2013) 53-63.
[12] A. G. Shannon, P. G. Anderson, A F. Horadam, Properties of Cordonnier, Perrin and Van der Laan Numbers. International Journal of Mathematical Education in Science and Technology 37(7) (2006) 825-831.
[13] D. Taşçı, Padovan and Pell-Padovan Quaternions. Journal of Science and Arts 1(42) (2018) 125-132.
[14] Y. Soykan, On Generalized Narayana Numbers. Int. J. Adv. Appl. Math. And Mech. 7(3) (2020) 43-56.
[15] N. J. A. Sloane, On-line Encyclopedia of Integer Sequences. http://oeis.org/
[16] D. Taşçı, Gaussian Padovan and and Gaussian Pell-Padovan Sequences. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67(2) (2018) 82-88.
[17] M. Y. Kartal, Gaussian Padovan and Gaussian Perrin Numbers and Properties of Them. Asian-European Journal of Mathematics 12(6) (2019) 2040014.
[18] E. Özkan, B. Kuloğlu, On The New Narayana Polynomials, The Gauss Narayana Numbers and Their Polynomials. Asian-European Journal of Mathematics 14(6) (2021) 2150100.

Details

Primary Language

Turkish

Subjects

-

Journal Section

Research Article

Authors

Nusret Karaaslan ^*
0000-0002-0244-1286
Türkiye

Merve Nur Fazlıoğlu
Türkiye

Publication Date

December 30, 2021

Submission Date

November 8, 2021

Acceptance Date

December 9, 2021

Published in Issue

Year 2021 Volume: 5 Number: 2

DOI

https://doi.org/10.29002/asujse.1020770

IZ

https://izlik.org/JA66TS79BY

Cite

RIS / Bibtex

APA

Karaaslan, N., & Fazlıoğlu, M. N. (2021). Gauss Narayana-Lucas Sayıları Üzerine. Aksaray University Journal of Science and Engineering, 5(2), 125-137. https://doi.org/10.29002/asujse.1020770

Cited By

On Gaussianian Narayana and Gaussianian Narayana-Lucas Hybrid Numbers

Journal of the Institute of Science and Technology

https://doi.org/10.21597/jist.1744643

Gauss Narayana-Lucas Sayıları Üzerine

On the Gaussian Narayana-Lucas Numbers

Abstract

Keywords

Gauss Narayana-Lucas Sayıları Üzerine

Öz

Anahtar Kelimeler

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

On Gaussianian Narayana and Gaussianian Narayana-Lucas Hybrid Numbers