<?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>2026-10-19T01:06:54Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13023" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/13023</identifier><datestamp>2026-10-18T20:27:52Z</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>MERSENNE-LUCAS HYBRID NUMBERS</dc:title><dc:creator>Özkan, Engin</dc:creator><dc:creator>Uysal, Mine</dc:creator><dc:subject>Binet formula</dc:subject><dc:subject>Cassini identity</dc:subject><dc:subject>Catalan identity</dc:subject><dc:subject>Generating function</dc:subject><dc:subject>Mersenne hybrid numbers</dc:subject><dc:subject>Mersenne-Lucas hybrid numbers</dc:subject><dc:description>We introduce Mersenne-Lucas hybrid numbers. We give the Binet formula, the generating function, the sum, the character, the norm and the vector representation of these numbers. We find some relations among Mersenne-Lucas hybrid numbers, Jacopsthal hybrid numbers, Jacopsthal-Lucas hybrid numbers and Mersenne hybrid numbers. Then we present some important identities such as Cassini identities for Mersenne-Lucas hybrid numbers. © 2021, University of Montenegro Faculty of Natural Sciences and Mathematics. All rights reserved.</dc:description><dc:publisher>University of Montenegro Faculty of Natural Sciences and Mathematics</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/13023</dc:identifier><dc:identifier>https://doi.org/10.20948/mathmontis-2021-52-2</dc:identifier><dc:identifier>0354-2238</dc:identifier><dc:language>en</dc:language><dc:relation>Mathematica Montisnigri</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/13023</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>