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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 2

A new perspective on bicomplex numbers with Leonardo number components

Murat Turan(BILECIK SEYH EDEBALI UNIVERSITY)0000-0001-9684-7924
Sıddıka Özkaldı Karakuş(BILECIK SEYH EDEBALI UNIVERSITY)0000-0002-2699-4109
Semra Kaya Nurkan(Uşak Üniversitesi, Uşak, Türkiye)0000-0001-6473-4458
Pages
—
Publication Date
2023-06-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.
📊
Key Findings & Data:In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.
💡
Conclusion & Impact:In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fibonacci numbers · bicomplex numbers · Leonardo numbers

Abstract

In the present paper, the bicomplex Leonardo numbers will be introduced with the use of Leonardo numbers and some important algebraic properties including recurrence relation, generating function, Catalan’s and Cassini’s identities, Binet’s formula, sum formulas will also be obtained.

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Cite This Article

Turan, M., Karakuş, S. Ö., Nurkan, S. K. (2023). A new perspective on bicomplex numbers with Leonardo number components. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 2. https://doi.org/10.31801/cfsuasmas.1181930

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