Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations

Erdaǧ Ö; Deveci Ö; Shannon, AG

Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations

Erdaǧ Ö Deveci Ö Shannon, AG

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Publisher:: Walter de Gruyter GmbH
Publication Type:: Journal Article
Citation:: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2020, 28, (3), pp. 89-102
Issue Date:: 2020-12-01

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Field	Value	Language
dc.contributor.author	Erdaǧ Ö
dc.contributor.author	Deveci Ö
dc.contributor.author	Shannon, AG
dc.date.accessioned	2021-03-14T05:24:36Z
dc.date.available	2021-03-14T05:24:36Z
dc.date.issued	2020-12-01
dc.identifier.citation	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2020, 28, (3), pp. 89-102
dc.identifier.issn	1224-1784
dc.identifier.issn	1844-0835
dc.identifier.uri	http://hdl.handle.net/10453/147095
dc.description.abstract	© 2020 Özgür Erdaǧ et al., published by Sciendo 2020. In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the aid of the nth power of the generating matrix the Pell-Pell p-sequence. Furthermore, we obtain an exponential representation of the Pell-Pell p-numbers and we develop relationships between the Pell-Pell p-numbers and their permanent, determinant and sums of certain matrices.
dc.language	en
dc.publisher	Walter de Gruyter GmbH
dc.relation.ispartof	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
dc.relation.isbasedon	10.2478/auom-2020-0036
dc.rights	info:eu-repo/semantics/openAccess
dc.title	Matrix Manipulations for Properties of Pell p-Numbers and their Generalizations
dc.type	Journal Article
utslib.citation.volume	28
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	open_access	*
dc.date.updated	2021-03-14T05:24:33Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	28
utslib.citation.issue	3

Abstract:

© 2020 Özgür Erdaǧ et al., published by Sciendo 2020. In this paper, we define the Pell-Pell p-sequence and then we discuss the connection of the Pell-Pell p-sequence with Pell and Pell p-sequences. Also, we provide a new Binet formula and a new combinatorial representation of the Pell-Pell p-numbers by the aid of the nth power of the generating matrix the Pell-Pell p-sequence. Furthermore, we obtain an exponential representation of the Pell-Pell p-numbers and we develop relationships between the Pell-Pell p-numbers and their permanent, determinant and sums of certain matrices.

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http://hdl.handle.net/10453/147095