q-Riordan array for q-Pascal matrix and its inverse matrix

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dc.authoridNaim Tuğlu: 0000-0002-7277-0034
dc.authoridMaciej Dziemianczuk: 0000-0002-0553-7750
dc.contributor.authorTuğlu, Naim
dc.contributor.authorYeşil, Fatma
dc.contributor.authorDziemianczuk, Maciej
dc.contributor.authorKoçer, Emine Gökçen
dc.date.accessioned2020-01-18T21:02:55Z
dc.date.available2020-01-18T21:02:55Z
dc.date.issued2016
dc.departmentNEÜ, Fen Fakültesi, Matematik ve Bilgisayar Bilimleri Bölümüen_US
dc.description.abstractIn this paper, we prove the q-analogue of the fundamental theorem of Riordan arrays. In particular, by defining two new binary operations *q and *1/q, we obtain a q-analogue of the Riordan representation of the q-Pascal matrix. In addition, by aid of the qLagrange expansion formula we get q-Riordan representation for its inverse matrix.en_US
dc.identifier.citationTuğlu, N., Yeşil, F., Dziemianczuk, M., Koçer, E. G. (2016). q-Riordan array for q-Pascal matrix and its inverse matrix. Turkish Journal of Mathematics, 40, 5, 1038-1048.
dc.identifier.doi10.3906/mat-1506-56en_US
dc.identifier.endpage1048en_US
dc.identifier.issn1300-0098en_US
dc.identifier.issn1303-6149en_US
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1038en_US
dc.identifier.urihttps://app.trdizin.gov.tr/makale/TWpRMU16UXpNdz09/q-riordan-array-for-q-pascal-matrix-and-its-inverse-matrix
dc.identifier.urihttps://hdl.handle.net/20.500.12452/1360
dc.identifier.volume40en_US
dc.identifier.wosWOS:000386115600010en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US]
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRiordan representationen_US
dc.subjectPascal matricesen_US
dc.subjectq -calculusen_US
dc.titleq-Riordan array for q-Pascal matrix and its inverse matrixen_US
dc.typeArticleen_US

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