The Complex-type Cyclic-Pell Sequence and its Applications

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Turkish Journal of Science
Volume:7 Issue:3
The Complex-type Cyclic-Pell Sequence and its Applications

The Complex-type Cyclic-Pell Sequence and its Applications

Authors : Özgür ERDAĞ, Ömür DEVECİ, Erdal KARADUMAN

Pages : 202-210

View : 13 | Download : 10

Publication Date : 2022-12-30

Article Type : Research Paper

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 insert ignore into journalissuearticles values(x, y);.
Keywords : The complex type cyclic Pell sequence, Matrix, Group, Period

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