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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/123672026-10-18T20:39:20Zopenairedrivercom_ebyu_10000col_ebyu_10001

Fibonacci and Lucas Polynomials in n-gonKuloǧlu, BaharÖzkan, EnginMarin, MarinBinet formulaFibonacci polynomialsLucas polynomialsRecurrence relationIn this paper, we bring into light, study the polygonal structure of Fibonacci polynomials that are placed clockwise on these by a number corresponding to each vertex. Also, we find the relation between the numbers with such vertices. We present a relation for obtained sequence in an n-gon yielding the m-Th term formed at k vertices. Also, we apply these situations to Lucas polynomials and find new recurrence relations. Then, the numbers obtained by writing the coefficients of these polynomials in step form are shown in OEIS. © 2023 Bahar Kuloǧlu et al., published by Sciendo.Sciendo2023Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/12367https://doi.org/10.2478/auom-2023-00231224-1784enAnalele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematicainfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12367