<?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>2026-10-19T01:04:38Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12061" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12061</identifier><datestamp>2026-10-18T20:56:44Z</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>d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations</dc:title><dc:creator>Özkan, Engin</dc:creator><dc:creator>Uysal, Mine</dc:creator><dc:subject>Binet formula</dc:subject><dc:subject>d-Gaussian Pell-Lucas polynomial</dc:subject><dc:subject>d-Gaussian PellLucas polynomial matrix</dc:subject><dc:subject>generating function</dc:subject><dc:subject>Riordan matrix</dc:subject><dc:description>We define a new generalization of Gaussian Pell-Lucas polynomials. We call it d−Gaussian Pell-Lucas polynomials. Then we present the generating function and Binet formula for the polynomials. We give a matrix representation of d−Gaussian Pell-Lucas polynomials. Using the Riordan method, we obtain the factorizations of Pascal matrix involving the polynomials. © MatDer.</dc:description><dc:publisher>Association of Mathematicians (MATDER)</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/12061</dc:identifier><dc:identifier>https://doi.org/10.47000/tjmcs.1007382</dc:identifier><dc:identifier>2148-1830</dc:identifier><dc:language>en</dc:language><dc:relation>Turkish Journal of Mathematics and Computer Science</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/12061</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>