De Moivre-Type Identities for the Pell Numbers

Yamaç Akbıyık, Seda; Akbıyık, Mücahit

dc.contributor.author	Yamaç Akbıyık, Seda
dc.contributor.author	Akbıyık, Mücahit
dc.date.accessioned	2023-10-31T14:39:36Z
dc.date.available	2023-10-31T14:39:36Z
dc.date.issued	2021	en_US
dc.identifier.issn	2148-1830
dc.identifier.uri	https://hdl.handle.net/11363/6141
dc.description.abstract	This paper aims to present a method for constructing the second order Pell and Pell-Lucas numbers and the third order Pell and Pell-Lucas numbers. Moreover, we obtain the De Moivre-type identities for these numbers. In addition, we define a Pell sequence with new initial conditions and give some identities for these third order Pell numbers such as Binet’s formulas, generating functions, sums.	en_US
dc.language.iso	eng	en_US
dc.publisher	Matematikçiler Derneği	en_US
dc.relation.isversionof	10.47000/tjmcs.835237	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	Pell numbers	en_US
dc.subject	Pell-Lucas numbers	en_US
dc.subject	De Moivre-type identity	en_US
dc.subject	Binet’s formula	en_US
dc.title	De Moivre-Type Identities for the Pell Numbers	en_US
dc.type	article	en_US
dc.relation.ispartof	Turkish Journal of Mathematics and Computer Science	en_US
dc.department	Mühendislik ve Mimarlık Fakültesi	en_US
dc.authorid	https://orcid.org/0000-0003-1797-674X	en_US
dc.authorid	https://orcid.org/0000-0002-0256-1472	en_US
dc.identifier.volume	13	en_US
dc.identifier.issue	2	en_US
dc.identifier.startpage	63	en_US
dc.identifier.endpage	67	en_US
dc.relation.publicationcategory	Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.contributor.institutionauthor	Yamaç Akbıyık, Seda