On some Combinatorial Properties of Generalized Commutative Pell and Pell-Lucas Quaternions

Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we study generalized commutative Pell quaternions and generalized commutative Pell-Lucas quaternions. We present...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Kragujevac Journal of Mathematics 2025, Vol.49 (6), p.889-897
Hauptverfasser: BRÓD, DOROTA, SZYNAL-LIANA, ANETTA
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 897
container_issue 6
container_start_page 889
container_title Kragujevac Journal of Mathematics
container_volume 49
creator BRÓD, DOROTA
SZYNAL-LIANA, ANETTA
description Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we study generalized commutative Pell quaternions and generalized commutative Pell-Lucas quaternions. We present some properties of these numbers and relations between them.
doi_str_mv 10.46793/KgJMat2506.889B
format Article
fullrecord <record><control><sourceid>crossref</sourceid><recordid>TN_cdi_crossref_primary_10_46793_KgJMat2506_889B</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_46793_KgJMat2506_889B</sourcerecordid><originalsourceid>FETCH-LOGICAL-c83b-9cf10059e624f66e67f1542178fcde149e42b659110a938f97ae3788140b60513</originalsourceid><addsrcrecordid>eNpF0M1KAzEUBeAgCpbavcu8wNSb30mWWrRWR1qhOxdDZnojkZlJSaaCPr20Cq7OWRzO4iPkmsFc6tKKm-f3pxc3cgV6boy9OyMTLkEXAqQ6JxMmFRRWc3NJZjl_AAA3lglZTsjbeqA59kgXsW_C4MaYguvoJsU9pjFgptHTJQ6YXBe-cXfc9YfRjeET6Qa7jrphdypFdWhdpq8HN2IaQhzyFbnwrss4-8sp2T7cbxePRbVerha3VdEa0RS29QxAWdRceq1Rl54pyVlpfLtDJi1K3mhlGQNnhfG2dChKY5iERoNiYkrg97ZNMeeEvt6n0Lv0VTOoTzz1P0995BE_XyJZGQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>On some Combinatorial Properties of Generalized Commutative Pell and Pell-Lucas Quaternions</title><source>DOAJ Directory of Open Access Journals</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>BRÓD, DOROTA ; SZYNAL-LIANA, ANETTA</creator><creatorcontrib>BRÓD, DOROTA ; SZYNAL-LIANA, ANETTA ; Faculty of Mathematics and Applied Physics Rzeszow University of Technology, Poland</creatorcontrib><description>Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we study generalized commutative Pell quaternions and generalized commutative Pell-Lucas quaternions. We present some properties of these numbers and relations between them.</description><identifier>ISSN: 1450-9628</identifier><identifier>EISSN: 2406-3045</identifier><identifier>DOI: 10.46793/KgJMat2506.889B</identifier><language>eng</language><ispartof>Kragujevac Journal of Mathematics, 2025, Vol.49 (6), p.889-897</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,864,4014,27914,27915,27916</link.rule.ids></links><search><creatorcontrib>BRÓD, DOROTA</creatorcontrib><creatorcontrib>SZYNAL-LIANA, ANETTA</creatorcontrib><creatorcontrib>Faculty of Mathematics and Applied Physics Rzeszow University of Technology, Poland</creatorcontrib><title>On some Combinatorial Properties of Generalized Commutative Pell and Pell-Lucas Quaternions</title><title>Kragujevac Journal of Mathematics</title><description>Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we study generalized commutative Pell quaternions and generalized commutative Pell-Lucas quaternions. We present some properties of these numbers and relations between them.</description><issn>1450-9628</issn><issn>2406-3045</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2025</creationdate><recordtype>article</recordtype><recordid>eNpF0M1KAzEUBeAgCpbavcu8wNSb30mWWrRWR1qhOxdDZnojkZlJSaaCPr20Cq7OWRzO4iPkmsFc6tKKm-f3pxc3cgV6boy9OyMTLkEXAqQ6JxMmFRRWc3NJZjl_AAA3lglZTsjbeqA59kgXsW_C4MaYguvoJsU9pjFgptHTJQ6YXBe-cXfc9YfRjeET6Qa7jrphdypFdWhdpq8HN2IaQhzyFbnwrss4-8sp2T7cbxePRbVerha3VdEa0RS29QxAWdRceq1Rl54pyVlpfLtDJi1K3mhlGQNnhfG2dChKY5iERoNiYkrg97ZNMeeEvt6n0Lv0VTOoTzz1P0995BE_XyJZGQ</recordid><startdate>2025</startdate><enddate>2025</enddate><creator>BRÓD, DOROTA</creator><creator>SZYNAL-LIANA, ANETTA</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>2025</creationdate><title>On some Combinatorial Properties of Generalized Commutative Pell and Pell-Lucas Quaternions</title><author>BRÓD, DOROTA ; SZYNAL-LIANA, ANETTA</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c83b-9cf10059e624f66e67f1542178fcde149e42b659110a938f97ae3788140b60513</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2025</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>BRÓD, DOROTA</creatorcontrib><creatorcontrib>SZYNAL-LIANA, ANETTA</creatorcontrib><creatorcontrib>Faculty of Mathematics and Applied Physics Rzeszow University of Technology, Poland</creatorcontrib><collection>CrossRef</collection><jtitle>Kragujevac Journal of Mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>BRÓD, DOROTA</au><au>SZYNAL-LIANA, ANETTA</au><aucorp>Faculty of Mathematics and Applied Physics Rzeszow University of Technology, Poland</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On some Combinatorial Properties of Generalized Commutative Pell and Pell-Lucas Quaternions</atitle><jtitle>Kragujevac Journal of Mathematics</jtitle><date>2025</date><risdate>2025</risdate><volume>49</volume><issue>6</issue><spage>889</spage><epage>897</epage><pages>889-897</pages><issn>1450-9628</issn><eissn>2406-3045</eissn><abstract>Generalized commutative quaternions generalize elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers. In this paper, we study generalized commutative Pell quaternions and generalized commutative Pell-Lucas quaternions. We present some properties of these numbers and relations between them.</abstract><doi>10.46793/KgJMat2506.889B</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1450-9628
ispartof Kragujevac Journal of Mathematics, 2025, Vol.49 (6), p.889-897
issn 1450-9628
2406-3045
language eng
recordid cdi_crossref_primary_10_46793_KgJMat2506_889B
source DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals
title On some Combinatorial Properties of Generalized Commutative Pell and Pell-Lucas Quaternions
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-15T01%3A44%3A44IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20some%20Combinatorial%20Properties%20of%20Generalized%20Commutative%20Pell%20and%20Pell-Lucas%20Quaternions&rft.jtitle=Kragujevac%20Journal%20of%20Mathematics&rft.au=BR%C3%93D,%20DOROTA&rft.aucorp=Faculty%20of%20Mathematics%20and%20Applied%20Physics%20Rzeszow%20University%20of%20Technology,%20Poland&rft.date=2025&rft.volume=49&rft.issue=6&rft.spage=889&rft.epage=897&rft.pages=889-897&rft.issn=1450-9628&rft.eissn=2406-3045&rft_id=info:doi/10.46793/KgJMat2506.889B&rft_dat=%3Ccrossref%3E10_46793_KgJMat2506_889B%3C/crossref%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true