{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T14:33:05Z","timestamp":1713364385156},"reference-count":0,"publisher":"Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["NNTDM"],"published-print":{"date-parts":[[2021,6]]},"abstract":"<jats:p>In this article, a study is carried out around the Perrin sequence, these numbers marked by their applicability and similarity with Padovan\u2019s numbers. With that, we will present the recurrence for Perrin\u2019s polynomials and also the definition of Perrin\u2019s complex bivariate polynomials. From this, the recurrence of these numbers, their generating function, generating matrix and Binet formula are defined.<\/jats:p>","DOI":"10.7546\/nntdm.2021.27.2.70-78","type":"journal-article","created":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T17:26:46Z","timestamp":1623432406000},"page":"70-78","source":"Crossref","is-referenced-by-count":2,"title":["Perrin\u2019s bivariate and complex polynomials"],"prefix":"10.7546","volume":"27","author":[{"given":"Renata Passos Machado","family":"Vieira","sequence":"first","affiliation":[]},{"given":"Milena Carolina dos Santos","family":"Mangueira","sequence":"additional","affiliation":[]},{"given":"Francisco Regis Vieira","family":"Alves","sequence":"additional","affiliation":[]},{"given":"Paula Maria Machado Cruz","family":"Catarino","sequence":"additional","affiliation":[]}],"member":"4381","published-online":{"date-parts":[[2021,6]]},"container-title":["Notes on Number Theory and Discrete Mathematics"],"original-title":[],"deposited":{"date-parts":[[2021,6,11]],"date-time":"2021-06-11T17:26:49Z","timestamp":1623432409000},"score":1,"resource":{"primary":{"URL":"http:\/\/nntdm.net\/volume-27-2021\/number-2\/70-78\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,6]]},"published-print":{"date-parts":[[2021,6]]}},"URL":"https:\/\/doi.org\/10.7546\/nntdm.2021.27.2.70-78","relation":{},"ISSN":["1310-5132","2367-8275"],"issn-type":[{"value":"1310-5132","type":"print"},{"value":"2367-8275","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6]]}}}