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https://hdl.handle.net/20.500.11851/801
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kılıç, Emrah | - |
dc.contributor.author | Akkuş, İlker | - |
dc.date.accessioned | 2019-03-21T13:05:47Z | - |
dc.date.available | 2019-03-21T13:05:47Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Kiliç, E., & Akkus, I. (2018). On Fibonomial sums identities with special sign functions: analytically q-calculus approach. Mathematica Slovaca, 68(3), 501-512. | en_US |
dc.identifier.issn | 0139-9918 | - |
dc.identifier.uri | https://doi.org/10.1515/ms-2017-0120 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/801 | - |
dc.description.abstract | Recently Marques and Trojovsky [On some new identities for the Fibonomial coefficients, Math. Slovaca 64 (2014), 809-818] presented interesting two sum identities including the Fibonomial coefficients and Fibonacci numbers. These sums are unusual as they include a rare sign function and their upper bounds are odd. In this paper, we give generalizations of these sums including the Gaussian q-binomial coefficients. We also derive analogue q-binomial sums whose upper bounds are even. Finally we give q-binomial sums formulæ whose weighted functions are different from the earlier ones. To prove the claimed results, we analytically use q-calculus. | en_US |
dc.language.iso | en | en_US |
dc.publisher | De Gruyter Open Ltd | en_US |
dc.relation.ispartof | Mathematica Slovaca | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Fibonomial coefficients | en_US |
dc.subject | Gaussian q-binomial coefficients | en_US |
dc.subject | Sum identities | en_US |
dc.title | On Fibonomial Sums Identities With Special Sign Functions: Analytically Q-Calculus Approach | 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 | 68 | - |
dc.identifier.issue | 3 | - |
dc.identifier.startpage | 501 | - |
dc.identifier.endpage | 512 | - |
dc.identifier.wos | WOS:000432900500004 | en_US |
dc.identifier.scopus | 2-s2.0-85047789939 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.1515/ms-2017-0120 | - |
dc.identifier.doi | 10.1515/ms-2017-0120 | - |
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 | none | - |
item.fulltext | No 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 |
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