<?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>2026-10-19T06:00:33Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16631" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16631</identifier><datestamp>2026-10-18T20:36:30Z</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>ON GENERALIZED (k, r) - GAUSS PELL NUMBERS</dc:title><dc:creator>Kuloglu, Bahar</dc:creator><dc:creator>Ozkan, Engin</dc:creator><dc:subject>k - Pell numbers</dc:subject><dc:subject>Gauss Pell numbers</dc:subject><dc:subject>r-distance Gauss Pell numbers</dc:subject><dc:subject>generating functions</dc:subject><dc:subject>LUCAS-NUMBERS</dc:subject><dc:subject>FIBONACCI</dc:subject><dc:subject>SEQUENCES</dc:subject><dc:subject>Multidisciplinary Sciences</dc:subject><dc:subject>Science &amp; Technology - Other Topics</dc:subject><dc:description>We define the generalized (k, r) - Gauss Pell numbers by using the definition of a distance between numbers. Then we examine their properties and give some important identities for these numbers. In addition, we present the generating functions for these numbers and the sum of the terms of the generalized (k, r) - Gauss Pell numbers.</dc:description><dc:publisher>EDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE</dc:publisher><dc:date>2021</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/16631</dc:identifier><dc:identifier>https://doi.org/10.46939/j.sci.arts-21.3-a02</dc:identifier><dc:identifier>1844-9581</dc:identifier><dc:language>en</dc:language><dc:relation>JOURNAL OF SCIENCE AND ARTS</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/16631</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>