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

Abdul Hamid Ganie, Engin Å Zkan, Mine Uysal, Afroza Akhter and Ya Jia

Discrete Dynamics in Nature and Society, 2022, vol. 2022, 1-13

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2910678

DOI: 10.1155/2022/2910678

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