<?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>2026-10-19T00:02:33Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12595" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12595</identifier><datestamp>2026-10-18T20:36:39Z</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 the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers</dc:title><dc:creator>Kuloğlu, Bahar</dc:creator><dc:creator>Özkan, Engin</dc:creator><dc:subject>Bicomplex numbers</dc:subject><dc:subject>Gaussian Fibonacci numbers</dc:subject><dc:subject>bicomplex Gaussian Fibonacci numbers</dc:subject><dc:subject>Binet's formula</dc:subject><dc:subject>FAMILY</dc:subject><dc:subject>Mathematics</dc:subject><dc:description>We give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers. Also, we present the summation formula, matrix representation and Honsberger identity and their relationship between these numbers. Finally, we show the relationships among the bicomplex Gaussian Fibonacci, the bicomplex Gaussian Lucas, Gaussian Fibonacci, Gaussian Lucas and Fibonacci numbers. © 2022, University of Tartu Press. All rights reserved.</dc:description><dc:publisher>University of Tartu Press</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/12595</dc:identifier><dc:identifier>https://doi.org/10.12697/acutm.2022.22.03</dc:identifier><dc:identifier>1406-2283</dc:identifier><dc:language>en</dc:language><dc:relation>Acta et Commentationes Universitatis Tartuensis de Mathematica</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/12595</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>