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<ArticleSet>
<Article>
<Journal>
				<PublisherName>University of Guilan</PublisherName>
				<JournalTitle>Journal of Algebra and Related Topics</JournalTitle>
				<Issn>2345-3931</Issn>
				<Volume>14</Volume>
				<Issue>Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024).</Issue>
				<PubDate PubStatus="epublish">
					<Year>2026</Year>
					<Month>04</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On the bicomplex Fibonacci $p$ quaternions</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>217</FirstPage>
			<LastPage>233</LastPage>
			<ELocationID EIdType="pii">9524</ELocationID>
			
<ELocationID EIdType="doi">10.22124/jart.2026.27743.1682</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>B.</FirstName>
					<LastName>Prasad</LastName>
<Affiliation>Department of‎ ‎Mathematics‎,‎ Kandi Raj College, Kandi‎, ‎India</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2024</Year>
					<Month>06</Month>
					<Day>20</Day>
				</PubDate>
			</History>
		<Abstract>The paper introduces a novel bicomplex Fibonacci p quaternions, establishing algebraic properties, Honsberger identity, D’Ocagne’s identity, Cassini’s identity, Catalan’s identity for these quaternions. The study extends previous work on bicomplex Fibonacci quaternions [10] by incorporating bicomplex Fibonacci p quaternions. These new quaternions may have implications in applied mathematics, quantum mechanics, quantum physics, Lie groups, Kinematics and differential equations.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">‎Fibonacci numbers‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎Golden mean‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎Bicomplex quaternions‎</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">‎Bicomplex Fibonacci quaternions</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jart.guilan.ac.ir/article_9524_8c862dcdc4b28bac6fc6065a1c683387.pdf</ArchiveCopySource>
</Article>
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