<?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>2026-10-19T00:27:48Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13348" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13348</identifier><datestamp>2026-10-18T20:28:11Z</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>Perrin Octonions and Perrin Sedenions</dc:title><dc:creator>Taşyurdu, Yasemin</dc:creator><dc:creator>Akpınar, Ayşe</dc:creator><dc:subject>Perrin numbers</dc:subject><dc:subject>Perrin octonions</dc:subject><dc:subject>Perrin sedenions</dc:subject><dc:description>In this study, we introduce new classes of octonion and sedenion numbers associated with Perrin numbers. We define Perrin octonions and Perrin sedenions by using the Perrin numbers. We give some relationship between Perrin octonions, Perrin sedenions and Perrin numbers. Moreover we obtain the generating functions, Binet formulas and sums formulas of them. © 2020, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.</dc:description><dc:publisher>Prof. Dr. Mehmet Zeki SARIKAYA</dc:publisher><dc:date>2020</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/13348</dc:identifier><dc:identifier>2147-625X</dc:identifier><dc:language>en</dc:language><dc:relation>Konuralp Journal of Mathematics</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/13348</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>