<?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>2026-10-19T01:06:29Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/18718" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/18718</identifier><datestamp>2026-10-18T20:56:42Z</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>Catalan Transform of The 𝒌 −Lucas Numbers</dc:title><dc:creator>Özkan, Engin</dc:creator><dc:creator>TAŞTAN, merve</dc:creator><dc:creator>Gungor, Olcay</dc:creator><dc:subject>Matematik</dc:subject><dc:description>Bu çalışmada, 𝑘–Lucas dizisinin 𝐿𝑘,𝑛 Catalan dönüşümünün 𝐶𝐿𝑘,𝑛 tanımı verildi. 𝑘–Lucas dizisinin 𝐿𝑘,𝑛 Catalan dönüşümünün 𝐶𝐿𝑘,𝑛 geren fonksiyonu elde edildi. Ayrıca, 𝐶𝐿𝑘,𝑛 dönüşümü, alt üçgen matris olan Catalan matrisi 𝐶 ile 𝑛 × 1 tipindeki 𝐿𝑘 matrisinin çarpımı olarak yazıldı. Hankel fonksiyonu kullanılarak 𝐶𝐿𝑘,𝑛 ler ile oluşturulan matrislerin determinantları hesaplandı.</dc:description><dc:date>2020</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/18718</dc:identifier><dc:identifier>https://doi.org/10.18185/erzifbed.638488</dc:identifier><dc:identifier>1307-9085</dc:identifier><dc:language>tr</dc:language><dc:relation>Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi</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/18718</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>