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https://hdl.handle.net/20.500.11851/1684
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Arıkan, Talha | - |
dc.contributor.author | Kılıç, Emrah | - |
dc.date.accessioned | 2019-07-04T14:19:42Z | |
dc.date.available | 2019-07-04T14:19:42Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Arikan, T., & Kiliç, E. (2017). A class of non-symmetric band determinants with the Gaussian q-binomial coefficients. Quaestiones Mathematicae, 40(5), 645-660. | en_US |
dc.identifier.issn | 1607-3606 | |
dc.identifier.uri | https://doi.org/10.2989/16073606.2017.1306596 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/1684 | - |
dc.description.abstract | A class of symmetric band matrices of bandwidth 2r+1 with the binomial coefficients entries was studied earlier. We consider a class of non-symmetric band matrices with the Gaussian q-binomial coefficients whose upper bandwith is s and lower bandwith is r. We give explicit formula for the determinant, the inverse (along with its infinity-norm when q -> 1) and the LU-decomposition of the class. We use the celebrated q-Zeilberger algorithm and unimodality property to prove claimed results. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor and Francis Ltd. | en_US |
dc.relation.ispartof | Quaestiones Mathematicae | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Determinant | en_US |
dc.subject | inverse matrix | en_US |
dc.subject | LU-decomposition | en_US |
dc.subject | Gaussian q-binomial coefficients | en_US |
dc.subject | Fibonomial coefficients | en_US |
dc.subject | Zeilberger's algorithm | en_US |
dc.subject | unimodality | en_US |
dc.title | A Class of Non-Symmetric Band Determinants With the Gaussian Q-Binomialcoefficients | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 40 | |
dc.identifier.issue | 5 | |
dc.identifier.startpage | 645 | |
dc.identifier.endpage | 660 | |
dc.identifier.wos | WOS:000414640100009 | en_US |
dc.identifier.scopus | 2-s2.0-85017411897 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.2989/16073606.2017.1306596 | - |
dc.identifier.doi | 10.2989/16073606.2017.1306596 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q3 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 07.03. Department of Mathematics | - |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Band-Det.pdf | 287.42 kB | Adobe PDF | View/Open |
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