On sums of squares of Fibonomial coefficients by q-calculus

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dc.contributor.authorKilic, Emrah
dc.contributor.authorYalciner, Aynur
dc.date.accessioned2020-03-26T19:25:28Z
dc.date.available2020-03-26T19:25:28Z
dc.date.issued2016
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractWe present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kili, c and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, accepted in Math. Slovaca]. For this, first we translate everything into q-notation, and then to use generating functions and Rothe's identity from classical q-calculus.en_US
dc.identifier.doi10.1142/S1793557116500625en_US
dc.identifier.issn1793-5571en_US
dc.identifier.issn1793-7183en_US
dc.identifier.issue3en_US
dc.identifier.pmid#YOKen_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://dx.doi.org/10.1142/S1793557116500625
dc.identifier.urihttps://hdl.handle.net/20.500.12395/33850
dc.identifier.volume9en_US
dc.identifier.wosWOS:000387130400014en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTDen_US
dc.relation.ispartofASIAN-EUROPEAN JOURNAL OF MATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectCentral Fibonomial coefficientsen_US
dc.subjectq-analysisen_US
dc.subjectsums identitiesen_US
dc.subjectq-identitiesen_US
dc.titleOn sums of squares of Fibonomial coefficients by q-calculusen_US
dc.typeArticleen_US

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