<?xml version="1.0" encoding="UTF-8"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-10-19T01:04:33Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12762" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12762</identifier><datestamp>2026-10-18T20:41:27Z</datestamp><setSpec>openaire</setSpec><setSpec>driver</setSpec><setSpec>com_ebyu_10000</setSpec><setSpec>col_ebyu_10001</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:title>On New Polynomial Sequences Constructed to Each Vertex in an n-Gon</dc:title><dc:creator>Ganie, Abdul Hamid</dc:creator><dc:creator>Ozkan, Engin</dc:creator><dc:creator>Uysal, Mine</dc:creator><dc:creator>Akhter, Afroza</dc:creator><dc:subject>LUCAS SEQUENCE</dc:subject><dc:subject>PELL-LUCAS</dc:subject><dc:subject>FIBONACCI</dc:subject><dc:subject>JACOBSTHAL</dc:subject><dc:subject>FAMILY</dc:subject><dc:subject>TERMS</dc:subject><dc:subject>Mathematics, Interdisciplinary Applications</dc:subject><dc:subject>Multidisciplinary Sciences</dc:subject><dc:subject>Mathematics</dc:subject><dc:subject>Science &amp; Technology - Other Topics</dc:subject><dc:description>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.  © 2022 Abdul Hamid Ganie et al.</dc:description><dc:publisher>Hindawi Limited</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/12762</dc:identifier><dc:identifier>https://doi.org/10.1155/2022/2910678</dc:identifier><dc:identifier>1026-0226</dc:identifier><dc:language>en</dc:language><dc:relation>Discrete Dynamics in Nature and Society</dc:relation><dc:rights>info:eu-repo/semantics/openAccess</dc:rights><dc:type>info:eu-repo/semantics/article</dc:type><dc:identifier>https://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/12762</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>