<?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>2026-10-18T23:47:40Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/19903" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/19903</identifier><datestamp>2026-10-18T21:11:55Z</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>Determinants and Permanents of Hessenberg Matrices with Fibonacci-Like Sequences</dc:title><dc:creator>IŞIK, Fikret</dc:creator><dc:creator>TAŞYURDU, Yasemin</dc:creator><dc:subject>Folklor</dc:subject><dc:subject>Sanat</dc:subject><dc:description>In this paper, we consider Hessenberg matrices and Fibonacci-Like sequences that is defined by therecurrence relation Tn = Tn−1 + Tn−2, n ≥ 2 and T0 = m, T1 = m where m is a fixed positive integer. We define twon × n Hessenberg matrices with applications to the Fibonacci-Like sequences and investigate the determinantal andpermanental properties. We obtain that the determinants and permanents of these Hessenberg matrices are equal tothe nth term of Fibonacci-Like sequences.</dc:description><dc:date>2019</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/19903</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/19903</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>