Journal
Turkish Journal of Science
Volume & Issue
Volume 7, Issue 3
Published on
December 27, 2022
Pages
202-210
DOI
Article
The Complex-type Cyclic-Pell Sequence and its Applications
Authors
Ozgur Erdag,Omur Deveci,Erdal Karaduman
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).