On triangles with coordinates of vertices from the terms of the sequences {Ukn} and {Vkn}

Ömür, Neşe; Soydan, Gökhan; Ulutaş, Yücel Türker; Doğru, Yusuf

doi:10.21857/ydkx2cwq49

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2021

2022

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“…In this direction, many researchers work on it and study its wings, and the Lucas numbers became a vital role for them to study as can be seen in [1][2][3][4][5][6][7][8]. While framing these sequences, other sequences came into existence such as Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas by replacing the initial conditions [9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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

Ganie

Özkan

Uysal

et al. 2022

Discrete Dynamics in Nature and Society

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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.

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