Relations arising from a family of combinatorial numbers and bernstein type basis functions

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dc.authoridKucukoglu, Irem/0000-0001-9100-2252
dc.authorwosidSIMSEK, YILMAZ/C-1654-2016
dc.authorwosidKucukoglu, Irem/L-9198-2018
dc.contributor.authorKüçükoğlu, İrem
dc.contributor.authorŞimşek, Yılmaz
dc.date.accessioned2024-08-20T20:29:21Z
dc.date.available2024-08-20T20:29:21Z
dc.date.issued2018
dc.departmentAntalya Belek Üniversitesien_US
dc.descriptionInternational Conference of Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 25-30, 2017 -- Thessaloniki, GREECEen_US
dc.description.abstractThe aim of this paper is to give some combinatorial sums, identities and relations related to a family of combinatorial numbers and the Bernstein type basis functions. With the help of generating functions for the combinatorial numbers from this aforementioned family, we give some functional equations. By using these functional equations, we obtain several relationships including these combinatorial numbers and the Bernstein type basis functions. Moreover, we provide not only some identities, but also applications including combinatorial sums, integrals, the combinatorial numbers, the extended Bersntein basis functions, and the beta function.en_US
dc.description.sponsorshipScientific Research Project Administration of Akdeniz Universityen_US
dc.description.sponsorshipThe paper was supported by the Scientific Research Project Administration of Akdeniz University.en_US
dc.identifier.doi10.1063/1.5043694
dc.identifier.isbn978-0-7354-1690-1
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85049953516en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1063/1.5043694
dc.identifier.urihttps://hdl.handle.net/20.500.14591/106
dc.identifier.volume1978en_US
dc.identifier.wosWOS:000445105400047en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAMER INST PHYSICSen_US
dc.relation.ispartofInternational Conference Of Numerical Analysis And Applied Mathematics (Icnaam 2017)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBernstein basis functionsen_US
dc.subjectgenerating functionsen_US
dc.subjectfunctional equationsen_US
dc.subjectspecial numbersen_US
dc.subjectspecial functionsen_US
dc.subjectcombinatorial identityen_US
dc.subjectcombinatorial sumen_US
dc.subjectbinomial coefficientsen_US
dc.subjectgamma functionen_US
dc.subjectbeta functionen_US
dc.titleRelations arising from a family of combinatorial numbers and bernstein type basis functionsen_US
dc.typeConference Objecten_US

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