{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T04:36:54Z","timestamp":1747197414336,"version":"3.40.5"},"reference-count":0,"publisher":"PPUFU - Portal de Peri\u00f3dicos da Universidade Federal de Uberl\u00e2ndia","issue":"6","license":[{"start":{"date-parts":[[2022,12,23]],"date-time":"2022-12-23T00:00:00Z","timestamp":1671753600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Braz. Elect. J. Math."],"abstract":"<jats:p>Estudos referentes as sequ\u00eancias lineares e recorrentes est\u00e3o sendo realizados na literatura de Matem\u00e1tica Pura, ampliando assim o universo de evolu\u00e7\u00e3o de sequ\u00eancias. De posse do estudo dos quat\u00e9rnios circulares hiperb\u00f3licos de Fibonacci, foi poss\u00edvel definir para esta pesquisa, os quat\u00e9rnios circulares hiperb\u00f3licos de Perrin. Al\u00e9m disso, s\u00e3o introduzidos os n\u00fameros hibrinomiais de Perrin, tendo como base os n\u00fameros h\u00edbridos e polinomiais de Perrin. Diante disso, s\u00e3o estudadas algumas propriedades alg\u00e9bricas dos quat\u00e9rnios hiperb\u00f3licos circulares de Perrin, resultando na obten\u00e7\u00e3o da sua respectiva fun\u00e7\u00e3o geradora, f\u00f3rmula de Binet e forma matricial.<\/jats:p>","DOI":"10.14393\/bejom-v3-n6-2022-65889","type":"journal-article","created":{"date-parts":[[2022,12,28]],"date-time":"2022-12-28T13:09:59Z","timestamp":1672232999000},"source":"Crossref","is-referenced-by-count":0,"title":["Os quat\u00e9rnios circulares hiperb\u00f3licos e os n\u00fameros hibrinomiais de Perrin"],"prefix":"10.14393","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1966-7097","authenticated-orcid":false,"given":"Renata Passos Machado","family":"Vieira","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3710-1561","authenticated-orcid":false,"given":"Francisco Regis","family":"Vieira Alves","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6917-5093","authenticated-orcid":false,"given":"Paula Maria Machado Cruz","family":"Catarino","sequence":"additional","affiliation":[]}],"member":"5515","published-online":{"date-parts":[[2022,12,23]]},"container-title":["BRAZILIAN ELECTRONIC JOURNAL OF MATHEMATICS"],"original-title":[],"link":[{"URL":"https:\/\/seer.ufu.br\/index.php\/BEJOM\/article\/download\/65889\/35359","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/seer.ufu.br\/index.php\/BEJOM\/article\/download\/65889\/35359","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,26]],"date-time":"2024-09-26T19:12:24Z","timestamp":1727377944000},"score":1,"resource":{"primary":{"URL":"https:\/\/seer.ufu.br\/index.php\/BEJOM\/article\/view\/65889"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,12,23]]},"references-count":0,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2022,12,23]]}},"URL":"https:\/\/doi.org\/10.14393\/bejom-v3-n6-2022-65889","relation":{},"ISSN":["2675-1313"],"issn-type":[{"type":"electronic","value":"2675-1313"}],"subject":[],"published":{"date-parts":[[2022,12,23]]}}}