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Journals / Turkish Journal of Science / 2022 / Cilt: 7 Sayı: 3

The Complex-type Cyclic-Pell Sequence and its Applications

Özgür Erdağ(KAFKAS UNIVERSITY)0000-0001-8071-6794
Ömür Deveci(KAFKAS UNIVERSITY)0000-0001-5870-5298
Erdal Karaduman(ATATURK UNIVERSITY)
Pages
202–210
Publication Date
2022-12-30
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, we obtain the lengths of the periods of the complex-type cyclic-Pell sequences in dihedral groups D2, D3, D4, D6, D8, D16 and D32 with respect to the generating pair (x, y).

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define the complex-type cyclic-Pell sequence and then, we give miscellaneous properties of this sequence by using matrix method.
📊
Key Findings & Data:In addition, we describe the complex-type cyclic-Pell sequence in a 2-generator group and we investigate that in finite groups in detail.
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Conclusion & Impact:Finally, we obtain the lengths of the periods of the complex-type cyclic-Pell sequences in dihedral groups D2, D3, D4, D6, D8, D16 and D32 with respect to the generating pair (x, y).
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:The complex-type cyclic-Pell sequence · Matrix · Group

Abstract

In this paper, we define the complex-type cyclic-Pell sequence and then, we give miscellaneous properties of this sequence by using matrix method. Also, we study the complex-type cyclic-Pell sequence modulo m. In addition, we describe the complex-type cyclic-Pell sequence in a 2-generator group and we investigate that in finite groups in detail. Finally, we obtain the lengths of the periods of the complex-type cyclic-Pell sequences in dihedral groups D2, D3, D4, D6, D8, D16 and D32 with respect to the generating pair (x, y).

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Cite This Article

Erdağ, Ö., Deveci, Ö., Karaduman, E. (2022). The Complex-type Cyclic-Pell Sequence and its Applications. Turkish Journal of Science, Cilt: 7 Sayı: 3, 202–210. https://ajindex.com/articles/1557506

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