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Journals / Universal Journal of Mathematics and Applications / 2023 / Cilt: 6 Sayı: 3

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients

Emrah POLATLI
Pages
106–113
Publication Date
2023-09-30
DOI
—
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AI Summary & Key Takeaways

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

In addition, using this matrix, we present two different versions of Cassini identity of these numbers.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients.
📊
Key Findings & Data:We give the Binet formulas, generating functions, and exponential generating functions for these numbers.
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Conclusion & Impact:In addition, using this matrix, we present two different versions of Cassini identity of these numbers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Binet formula · Fibonacci hybrid numbers · Generating function

Abstract

In this paper, we introduce hybrid numbers with Fibonacci and Lucas hybrid number coefficients. We give the Binet formulas, generating functions, and exponential generating functions for these numbers. Then we define an associate matrix for these numbers. In addition, using this matrix, we present two different versions of Cassini identity of these numbers.

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Cite This Article

POLATLI, E. (2023). Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients. Universal Journal of Mathematics and Applications, Cilt: 6 Sayı: 3, 106–113. https://ajindex.com/articles/965497

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