<?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>2026-10-19T01:18:15Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12966" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/12966</identifier><datestamp>2026-10-18T20:39:11Z</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>Hyperbolic k -Jacobsthal and k -Jacobsthal-Lucas Quaternions</dc:title><dc:creator>Özkan, Engin</dc:creator><dc:creator>Uysal, Mine</dc:creator><dc:creator>Godase, A.D.</dc:creator><dc:subject>Binet formula</dc:subject><dc:subject>Cassini identity</dc:subject><dc:subject>Catalan identity</dc:subject><dc:subject>Hyperbolic k- Jacobsthal quaternions</dc:subject><dc:subject>Hyperbolic k- Jacobsthal-Lucas quaternions</dc:subject><dc:description>In this paper, we introduce the hyperbolic k- Jacobsthal and k- Jacobsthal-Lucas quaternions. We present generating functions, Binet formula, Catalan’s identity, Vajda’s identity etc. for the hyperbolic k-Jacobsthal and k- Jacobsthal-Lucas quaternions. © 2021, The Indian National Science Academy.</dc:description><dc:publisher>Indian National Science Academy</dc:publisher><dc:date>2022</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/12966</dc:identifier><dc:identifier>https://doi.org/10.1007/s13226-021-00202-9</dc:identifier><dc:identifier>0019-5588</dc:identifier><dc:language>en</dc:language><dc:relation>Indian Journal of Pure and Applied 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/12966</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>