Gaussian modified pell sequence and gaussian modified pell polynomial sequence
| dc.authorid | 0000-0002-6224-1921 | |
| dc.contributor.author | Yağmur, Tülay | |
| dc.contributor.author | Karaaslan, Nusret | |
| dc.date.accessioned | 2019-07-24T05:51:32Z | |
| dc.date.available | 2019-07-24T05:51:32Z | |
| dc.date.issued | 2018 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | In this paper, we first define the Gaussian modified Pell sequence, for n ? 2, by the relation = 2 + with initial conditions = 1 ? i and = 1 + i. Then we give the definition of the Gaussian modified Pell polynomial sequence, for n ? 2, by the relation = 2 + with initial conditions = 1? xi and = x + i. We give Binet’s formulas, generating functions and summation formulas of these sequences. We also obtain some well-known identities such as Catalan’s identities, Cassini’s identities and d’Ocagne’s identities involving the Gaussian modified Pell sequence and Gaussian modified Pell polynomial sequence. | |
| dc.description.abstract | ... | |
| dc.identifier.doi | 10.29002/asujse.374128 | |
| dc.identifier.endpage | 72 | en_US |
| dc.identifier.issn | 2587-1277 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 63 | en_US |
| dc.identifier.uri | https://dx.doi.org/10.29002/asujse.374128 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/5381 | |
| dc.identifier.volume | 2 | en_US |
| dc.language.iso | en | |
| dc.publisher | Aksaray Üniversitesi | |
| dc.relation.ispartof | Aksaray University Journal of Science and Engineering | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Modified Pell sequence | |
| dc.subject | Modified Pell polynomial sequence | |
| dc.subject | Gaussian modified Pell sequence | |
| dc.subject | Gaussian modified Pell polynomial sequence | |
| dc.title | Gaussian modified pell sequence and gaussian modified pell polynomial sequence | |
| dc.type | Article |
