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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Finally, the results are given, and the special cases for this unification are classified.
📌 3 Key Takeaways
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Objective & Hypothesis:This paper aims to develop dual-generalized complex Fibonacci and Lucas numbers and obtain recurrence relations.
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Key Findings & Data:Fibonacci and Lucas’s approach to dual-generalized complex numbers contains dual-complex, hyper-dual and dual-hyperbolic situations as special cases and allows general contributions to the literature for all real number .
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Conclusion & Impact:Finally, the results are given, and the special cases for this unification are classified.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Dual-generalized complex numbers · Fibonacci numbers · Lucas numbers
Abstract
This paper aims to develop dual-generalized complex Fibonacci and Lucas numbers and obtain recurrence relations. Fibonacci and Lucas’s approach to dual-generalized complex numbers contains dual-complex, hyper-dual and dual-hyperbolic situations as special cases and allows general contributions to the literature for all real number . For this purpose, Binet’s formulas along with Tagiuri’s, Hornsberger’s, D’Ocagne’s, Cassini’s and Catalan’s identities, are calculated for dual-generalized complex Fibonacci and Lucas numbers. Finally, the results are given, and the special cases for this unification are classified.
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Cite This Article
GÜRSES, N., ŞENTÜRK, G. Y., YÜCE, S. (2022). A comprehensive survey of dual-generalized complex Fibonacci and Lucas numbers. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 40 - Sayı: 1, 179–187. https://ajindex.com/articles/418926