Araştırma Makalesi

The Complex-type Narayana-Fibonacci Numbers

Cilt: 13 Sayı: 1 1 Mart 2023
PDF İndir
TR EN

The Complex-type Narayana-Fibonacci Numbers

Öz

In this paper, the complex-type Narayana-Fibonacci numbers are defined. Additionally, we arrive at correlations between the complex-type Narayana-Fibonacci numbers and this generating matrix after deriving the generating matrix for these numbers. Eventually, we get their the Binet formula, the combinatorial, permanental, determinantal, exponential representations, and the sums by matrix methods are just a few examples of numerous features.

Anahtar Kelimeler

Kaynakça

  1. Adams, W. and Shanks, D. (1982). Strong Primality Tests that are not sufficient. Mathematics of Computation, 36(159), 255-300.
  2. Akuzum, Y. and Deveci, O. (2021). The arrowhead-Pell sequences. Ars Combinatoria, 155, 231-246.
  3. Akuzum, Y. and Deveci, O. (2022). The Narayana-Fibonacci sequence and its Binet formulas. 6th International Congress on Life, Social, and Health Sciences in a Changing World, İstanbul, July 02-03, pp:303-307.
  4. Becker, P.G. (1994). k-Regular power series and Mahler-type functional equations. Journal of Number Theory, 49(3), 269-286. Berzsenyi, G. (1975). Sums of products of generalized Fibonacci numbers. The Fibonacci Quarterly, 13(4), 43-344.
  5. Brualdi, R.A. and Gibson, P.M. (1977). Convex polyhedra of doubly stochastic matrices I: applications of permanent function. Journal of Combinatorial Theory, Series A, 22 (2), 194-230. Chen, W.Y.C. and Louck, J.D. (1996). The combinatorial power of the companion matrix. Linear Algebra and its Applications, 232, 261-278.
  6. Deveci, O. and Shannon, A.G. (2021). The complex-type k-Fibonacci sequences and their applications. Communications in Algebra, 49(3), 1352-1367.
  7. El Naschie, M.S. (2005). Deriving the Essential features of standard model from the general theory of relativity. Chaos, Solitons & Fractals, 26, 1-6. Erdag, O., Halici, S. and Deveci, O. (2022). The complex-type Padovan-p sequences. Mathematica Moravica, 26, 77-88.
  8. Fraenkel, A.S. and Klein, S.T. (1996). Robutst Universal complete codes for transmission and compression. Discrete Applied Mathematics, 64, 31-55.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

1 Mart 2023

Gönderilme Tarihi

19 Kasım 2022

Kabul Tarihi

19 Aralık 2022

Yayımlandığı Sayı

Yıl 2023 Cilt: 13 Sayı: 1

Kaynak Göster

APA
Aküzüm, Y. (2023). The Complex-type Narayana-Fibonacci Numbers. Journal of the Institute of Science and Technology, 13(1), 563-571. https://doi.org/10.21597/jist.1207287
AMA
1.Aküzüm Y. The Complex-type Narayana-Fibonacci Numbers. Iğdır Üniv. Fen Bil Enst. Der. 2023;13(1):563-571. doi:10.21597/jist.1207287
Chicago
Aküzüm, Yeşim. 2023. “The Complex-type Narayana-Fibonacci Numbers”. Journal of the Institute of Science and Technology 13 (1): 563-71. https://doi.org/10.21597/jist.1207287.
EndNote
Aküzüm Y (01 Mart 2023) The Complex-type Narayana-Fibonacci Numbers. Journal of the Institute of Science and Technology 13 1 563–571.
IEEE
[1]Y. Aküzüm, “The Complex-type Narayana-Fibonacci Numbers”, Iğdır Üniv. Fen Bil Enst. Der., c. 13, sy 1, ss. 563–571, Mar. 2023, doi: 10.21597/jist.1207287.
ISNAD
Aküzüm, Yeşim. “The Complex-type Narayana-Fibonacci Numbers”. Journal of the Institute of Science and Technology 13/1 (01 Mart 2023): 563-571. https://doi.org/10.21597/jist.1207287.
JAMA
1.Aküzüm Y. The Complex-type Narayana-Fibonacci Numbers. Iğdır Üniv. Fen Bil Enst. Der. 2023;13:563–571.
MLA
Aküzüm, Yeşim. “The Complex-type Narayana-Fibonacci Numbers”. Journal of the Institute of Science and Technology, c. 13, sy 1, Mart 2023, ss. 563-71, doi:10.21597/jist.1207287.
Vancouver
1.Yeşim Aküzüm. The Complex-type Narayana-Fibonacci Numbers. Iğdır Üniv. Fen Bil Enst. Der. 01 Mart 2023;13(1):563-71. doi:10.21597/jist.1207287

Cited By