The Complex-type Cyclic-Pell Sequence and its Applications

Yıl 2022, Cilt: 7 Sayı: 3, 202 - 210, 30.12.2022

Özgür Erdağ Ömür Deveci Erdal Karaduman

Öz

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).

Anahtar Kelimeler

The complex-type cyclic-Pell sequence, Matrix, Group, Period

Kaynakça

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