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<front>
<journal-meta>
<journal-id journal-id-type="publisher">global-journal-of-science-frontier-research-f-mathematics-decision</journal-id>
<journal-title-group>
<journal-title>Global Journal of Science Frontier Research - F: Mathematics &amp; Decision</journal-title>
</journal-title-group>
<issn publication-format="print">0975-5896</issn>
<issn publication-format="electronic">2249-4626</issn>
<publisher><publisher-name>Global Journals Publishing Group Incorporated</publisher-name></publisher>
<self-uri xlink:href="https://globaljournals.org/journal-seo-export/jats/52675.xml" />
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<article-meta>
<article-id pub-id-type="publisher-id">52675</article-id>
<title-group>
<article-title>Hybrid Quaternions of Pell and Jacobsthal</article-title>
<subtitle>Pell and Jacobsthal Hybrid Quaternion Sequences</subtitle>
</title-group>
<contrib-group>
<contrib contrib-type="author"><name><surname>Mangueira</surname><given-names>M. C. Dos S.</given-names></name><xref ref-type="aff" rid="aff1" />
</contrib>
<contrib contrib-type="author"><name><surname>Vieira</surname><given-names>R. P. M.</given-names></name></contrib>
<contrib contrib-type="author"><name><surname>Alves</surname><given-names>F. R. V.</given-names></name></contrib>
<contrib contrib-type="author"><name><surname>Catarino</surname><given-names>P. M. M. C.</given-names></name></contrib>
</contrib-group>
<aff id="aff1">BRAZIL</aff>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2022-09-20">
<day>20</day>
<month>09</month>
<year>2022</year>
</pub-date>
<volume>22</volume>
<issue>F3</issue>
<fpage>5</fpage>
<lpage>13</lpage>
<abstract><p>Knowing that the Pell and Jacobsthal sequences are second-order linear recursive sequences and that they have similarities between them, this study aims to explore these sequences. Thus, an investigation will be carried out on the Pell and Jacobsthal numbers based on the hybrid numbers and their quaternions. In this way, it will be presented as a great among these hybrid themes of Pell and will be presented as a formula of hybrids of Pell Jacobsthal and will be presented, transforming function and its extension to the indices.</p></abstract>
<kwd-group kwd-group-type="author-generated">
<kwd>pell sequence</kwd>
<kwd>jacobsthal sequence</kwd>
<kwd>pell and jacobsthal hybrid quaternions</kwd>
<kwd>hybrid numbers.</kwd>
</kwd-group>
<self-uri content-type="pdf" xlink:href="https://globaljournals.org/GJSFR_Volume22/2-Hybrid-Quaternions.pdf" />
<self-uri content-type="html" xlink:href="https://globaljournals.org/scholarly-articles/hybrid-quaternions-of-pell-and-jacobsthal/" />
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<body>
<sec>
<title>Full Text</title>
<p>Knowing that the Pell and Jacobsthal sequences are second-order linear recursive sequences and that they have similarities between them, this study aims to explore these sequences. Thus, an investigation will be carried out on the Pell and Jacobsthal numbers based on the hybrid numbers and their quaternions. In this way, it will be presented as a great among these hybrid themes of Pell and will be presented as a formula of hybrids of Pell Jacobsthal and will be presented, transforming function and its extension to the indices.</p>
</sec>
</body>
</article>