Research Article

Some Identities for q-Leonardo Tessarines

Volume: 22 Number: 1 March 30, 2026
EN

Some Identities for q-Leonardo Tessarines

Abstract

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.

Keywords

References

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  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.

Details

Primary Language

English

Subjects

Algebra and Number Theory, Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

March 30, 2026

Submission Date

April 3, 2025

Acceptance Date

November 24, 2025

Published in Issue

Year 2026 Volume: 22 Number: 1

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. CBUJOS. 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 (March 1, 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”, CBUJOS, vol. 22, no. 1, pp. 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 (March 1, 2026): 54-59. https://doi.org/10.18466/cbayarfbe.1669535.
JAMA
1.Atasoy A. Some Identities for q-Leonardo Tessarines. CBUJOS. 2026;22:54–59.
MLA
Atasoy, Ali. “Some Identities for Q-Leonardo Tessarines”. Celal Bayar University Journal of Science, vol. 22, no. 1, Mar. 2026, pp. 54-59, doi:10.18466/cbayarfbe.1669535.
Vancouver
1.Ali Atasoy. Some Identities for q-Leonardo Tessarines. CBUJOS. 2026 Mar. 1;22(1):54-9. doi:10.18466/cbayarfbe.1669535