Matrix manipulations for properties of Fibonacci p-numbers and their generalizations

Deveci, Ö; Shannon, AG

Matrix manipulations for properties of Fibonacci p-numbers and their generalizations

Deveci, Ö Shannon, AG

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Publisher:: Editura Universitatii Alexandru Ioan Cuza din Iasi
Publication Type:: Journal Article
Citation:: Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, 2021, 67, (1), pp. 85-95
Issue Date:: 2021-01-01

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Field	Value	Language
dc.contributor.author	Deveci, Ö
dc.contributor.author	Shannon, AG
dc.date.accessioned	2022-05-10T00:35:46Z
dc.date.available	2022-05-10T00:35:46Z
dc.date.issued	2021-01-01
dc.identifier.citation	Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica, 2021, 67, (1), pp. 85-95
dc.identifier.issn	1221-8421
dc.identifier.issn	2344-4967
dc.identifier.uri	http://hdl.handle.net/10453/157190
dc.description.abstract	In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of the Fibonacci-Fibonacci p-sequence with Fibonacci and Fibonacci p-sequences. We also provide a new Binet formula and a new combinatorial representation of Fibonacci p-numbers by the aid of the nth power of the generating matrix the Fibonacci-Fibonacci p-sequence. We furthermore develop relationships between the Fibonacci-Fibonacci p-numbers and their permanent, determinant and sums of certain matrices.
dc.language	en
dc.publisher	Editura Universitatii Alexandru Ioan Cuza din Iasi
dc.relation.ispartof	Analele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
dc.relation.isbasedon	10.47743/ANSTIM.2021.00007
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Matrix manipulations for properties of Fibonacci p-numbers and their generalizations
dc.type	Journal Article
utslib.citation.volume	67
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-05-10T00:35:44Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	67
utslib.citation.issue	1

Abstract:

In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of the Fibonacci-Fibonacci p-sequence with Fibonacci and Fibonacci p-sequences. We also provide a new Binet formula and a new combinatorial representation of Fibonacci p-numbers by the aid of the nth power of the generating matrix the Fibonacci-Fibonacci p-sequence. We furthermore develop relationships between the Fibonacci-Fibonacci p-numbers and their permanent, determinant and sums of certain matrices.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/157190