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On New Polynomial Sequences Constructed to Each Vertex in an n-Gon

Author

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  • Abdul Hamid Ganie
  • Engin Å zkan
  • Mine Uysal
  • Afroza Akhter
  • Ya Jia

Abstract

In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n-gon. We compute the relation among the polynomials with such vertices. Moreover, in an n-gon, we generate a recurrence relation for a sequence giving the mth term formed at the kth. Similar to the situations we are talking about, we applied to Pell-Lucas polynomials, Jacobsthal polynomials, and Jacobsthal-Lucas polynomials and have obtained new relations recurrence.

Suggested Citation

  • Abdul Hamid Ganie & Engin Å zkan & Mine Uysal & Afroza Akhter & Ya Jia, 2022. "On New Polynomial Sequences Constructed to Each Vertex in an n-Gon," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-13, May.
    • Handle: RePEc:hin:jnddns:2910678
    DOI: 10.1155/2022/2910678
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