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}.



This work is licensed under a Creative Commons Attribution 4.0 License.
  • Issn(Print): 1916-9795
  • Issn(Onlne): 1916-9809
  • Started: 2009
  • Frequency: bimonthly

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