Applications of Pell Polynomials in Rings

Yasemin TASYURDU, Devran ÇiFÇi, Ömür DEVECi

Abstract


In this paper, we study the Pell polynomials according to modulo mwhere $X^2=2x+1$ and various properties of these sequences are obtained. Also, Pell polynomials to the ring of complex numbers was defined. We define the Pell Polynomial-type orbits $P_(α,β){^R}(x)={X_i}$ where R be a 2-generator ring and (α,β) is a generating pair of the ring. Furthermore, we obtain the periods of the Pell Polynomial-type orbits P_(α,β){^R}(x) in finite 2-generator rings of order P{^2}.


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DOI: https://doi.org/10.5539/jmr.v10n3p35

License URL: http://creativecommons.org/licenses/by/4.0

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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