<?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>2026-10-19T01:04:14Z</responseDate><request verb="GetRecord" identifier="oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16824" metadataPrefix="oai_dc">https://ebyu-rdlopen.rawdatalibrary.net/oai/request</request><GetRecord><record><header><identifier>oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/16824</identifier><datestamp>2026-10-18T20:38:56Z</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>The Fibonacci Polynomials in Rings</dc:title><dc:creator>Tasyurdu, Yasemin</dc:creator><dc:creator>Deveci, Omur</dc:creator><dc:subject>Fibonacci Polynomials</dc:subject><dc:subject>Period</dc:subject><dc:subject>Ring</dc:subject><dc:subject>K-NACCI SEQUENCES</dc:subject><dc:subject>Mathematics</dc:subject><dc:description>In this paper, we study the Fibonacci polynomials modulo m such that chi(2) = x + 1 and then we obtain miscellaneous properties of these sequences. Also, we extend the Fibonacci polynomials to the ring of complex numbers. We define the Fibonacci Polynomial-type orbits F-(a,b)(R)(x) = {x(i)} where R be a 2-generator ring and (a, b) is a generating pair of the ring R. Furthermore, we obtain the periods of the Fibonacci Polynomial-type orbits F(a,b)Rw(x) in finite 2-generator rings of order p(2).</dc:description><dc:publisher>CHARLES BABBAGE RES CTR</dc:publisher><dc:date>2017</dc:date><dc:type>Article</dc:type><dc:identifier>https://rdlopen.rawdatalibrary.net/r/ebyu/16824</dc:identifier><dc:identifier>0381-7032</dc:identifier><dc:language>en</dc:language><dc:relation>ARS COMBINATORIA</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/16824</dc:identifier></oai_dc:dc></metadata></record></GetRecord></OAI-PMH>