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Applications of Pell Polynomials in Rings

Author

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  • Yasemin TASYURDU
  • Devran ?iF?i
  • ?m¨¹r DEVECi

Abstract

In this paper, we study the Pell polynomials according to modulo m where 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_((¦Á,¦Â))^R (x)={x_i } where R be a 2-generator ring and (¦Á,¦Â) is a generating pair of the ring R. Furthermore, we obtain the periods of the Pell Polynomial-type orbits P_((¦Á,¦Â))^R (x) in finite 2-generator rings of order p^2.

Suggested Citation

  • Yasemin TASYURDU & Devran ?iF?i & ?m¨¹r DEVECi, 2018. "Applications of Pell Polynomials in Rings," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(3), pages 35-41, June.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:3:p:35
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    More about this item

    Keywords

    Pell polynomials; Period; Ring;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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