Araştırma Makalesi

Some Identities for q-Leonardo Tessarines

Cilt: 22 Sayı: 1 30 Mart 2026
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EN

Some Identities for q-Leonardo Tessarines

Öz

In this paper, we introduce the concept of -Leonardo tessarines, which are defined using the q-integers. We then proceed to investigate the algebraic properties of these numbers, encompassing recurrence relations, generating functions, and several noteworthy identities. The study offers a thorough examination of the -Leonardo tessarines and their implications within algebraic frameworks.

Anahtar Kelimeler

Kaynakça

  1. [1]. Cockle, J. 1848. On certain functions resembling quaternions and on a new imaginary in algebra. Philosophical Magazine and Journal of Science, London-Dublin-Edinburg; 3(33): 435-439.
  2. [2]. Cockle, J. 1849. On a new imaginary in algebra. Philosophical Magazine and Journal of Science, London-Dublin-Edinburgh; 3(34): 37-47.
  3. [3]. Cockle, J. 1849. On the symbols of algebra and on the theory of tessarines. Philosophical magazine and Journal of Science, London-Dublin-Edinburg; 3(34): 406-410.
  4. [4]. Alp, Y, Koçer, EG. 2021. Some properties of Leonardo numbers. Konuralp Journal of Mathematics; 9(1): 183-189.
  5. [5]. Catarino, P, Borges, A. 2019. On leonardo numbers. Acta Mathematica Universitatis Comenianae; 89(1): 75-86, 2019.
  6. [6]. Kızılateş, C. 2020. A new generalization of Fibonacci hybrid and Lucas hybrid numbers. Chaos, Solitons and Fractals; 130: 109449.
  7. [7]. Catarino, P, Borges, A. 2020. A Note On Incomplete Leonardo Numbers. Integers: Electronic Journal of Combinatorial Number Theory; 20(7): 1-7.
  8. [8]. Turan, M, Karakuş, SÖ, Nurkan, SK. 2023. A new perspective on bicomplex numbers with Leonardo number components. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics; 72(2): 340-351.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebir ve Sayı Teorisi, Cebirsel ve Diferansiyel Geometri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Mart 2026

Gönderilme Tarihi

3 Nisan 2025

Kabul Tarihi

24 Kasım 2025

Yayımlandığı Sayı

Yıl 2026 Cilt: 22 Sayı: 1

Kaynak Göster

APA
Atasoy, A. (2026). Some Identities for q-Leonardo Tessarines. Celal Bayar University Journal of Science, 22(1), 54-59. https://doi.org/10.18466/cbayarfbe.1669535
AMA
1.Atasoy A. Some Identities for q-Leonardo Tessarines. Celal Bayar University Journal of Science. 2026;22(1):54-59. doi:10.18466/cbayarfbe.1669535
Chicago
Atasoy, Ali. 2026. “Some Identities for q-Leonardo Tessarines”. Celal Bayar University Journal of Science 22 (1): 54-59. https://doi.org/10.18466/cbayarfbe.1669535.
EndNote
Atasoy A (01 Mart 2026) Some Identities for q-Leonardo Tessarines. Celal Bayar University Journal of Science 22 1 54–59.
IEEE
[1]A. Atasoy, “Some Identities for q-Leonardo Tessarines”, Celal Bayar University Journal of Science, c. 22, sy 1, ss. 54–59, Mar. 2026, doi: 10.18466/cbayarfbe.1669535.
ISNAD
Atasoy, Ali. “Some Identities for q-Leonardo Tessarines”. Celal Bayar University Journal of Science 22/1 (01 Mart 2026): 54-59. https://doi.org/10.18466/cbayarfbe.1669535.
JAMA
1.Atasoy A. Some Identities for q-Leonardo Tessarines. Celal Bayar University Journal of Science. 2026;22:54–59.
MLA
Atasoy, Ali. “Some Identities for q-Leonardo Tessarines”. Celal Bayar University Journal of Science, c. 22, sy 1, Mart 2026, ss. 54-59, doi:10.18466/cbayarfbe.1669535.
Vancouver
1.Ali Atasoy. Some Identities for q-Leonardo Tessarines. Celal Bayar University Journal of Science. 01 Mart 2026;22(1):54-9. doi:10.18466/cbayarfbe.1669535