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Journals / Gazi University Journal of Science / 2026 / Volume: 34 Issue: 1

A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers

Nurten Gürses(YILDIZ TEKNİK ÜNİVERSİTESİ)0000-0001-8407-854X
Gülsüm Yeliz Şentürk(ISTANBUL GELISIM UNIVERSITY)0000-0002-8647-1801
Salim Yüce(Yildiz Technical University)0000-0002-8296-6495
Pages
—
Publication Date
2021-03-01
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AI Summary & Key Takeaways

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

Moreover, a remarkable classification are given for special cases and the set of complexgeneralized complex numbers are mentioned.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers.
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Key Findings & Data:The algebraic properties of these numbers are taken into consideration.
💡
Conclusion & Impact:Moreover, a remarkable classification are given for special cases and the set of complexgeneralized complex numbers are mentioned.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized complex numbers · Complex nnumber · Dual-generalized

Abstract

This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration. Besides, dual-generalized complex and hyperbolic-generalized complex valued functions are defined and different matrix representations of these numbers are examined. Moreover, a remarkable classification are given for special cases and the set of complexgeneralized complex numbers are mentioned.

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Cite This Article

Gürses, N., Şentürk, G. Y., Yüce, S. (2021). A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers. Gazi University Journal of Science, Volume: 34 Issue: 1. https://doi.org/10.35378/gujs.653906

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