q-Generalization of Biperiodic Fibonacci and Lucas Polynomials

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dc.contributor.authorKizilates, Can
dc.contributor.authorFirengiz, Mirac Cetin
dc.contributor.authorTuglu, Naim
dc.contributor.orcIDhttps://orcid.org/0000-0002-9588-0295en_US
dc.contributor.researcherIDHNQ-9215-2023en_US
dc.date.accessioned2023-06-05T11:00:47Z
dc.date.available2023-06-05T11:00:47Z
dc.date.issued2017
dc.description.abstractIn this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polynomials. We obtain generating function and several properties of these polynomials. We also define q-analogue of the biperiodic incomplete Fibonacci and Lucas polynomials. We show that these polynomials satisfy nonlinear recurrence relations. Then we prove several summation formulas for the biperiodic incomplete q-Fibonacci and q-Lucas polynomialsen_US
dc.identifier.endpage85en_US
dc.identifier.issn2217-3412en_US
dc.identifier.issue5en_US
dc.identifier.startpage71en_US
dc.identifier.urihttp://hdl.handle.net/11727/9342
dc.identifier.volume8en_US
dc.identifier.wos000416732700006en_US
dc.language.isoengen_US
dc.relation.journalJOURNAL OF MATHEMATICAL ANALYSISen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergien_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectq-Fibonacci polynomialen_US
dc.subjectq-biperiodic Fibonacci polynomialsen_US
dc.subjectbiperiodic Lucas polynomialen_US
dc.titleq-Generalization of Biperiodic Fibonacci and Lucas Polynomialsen_US
dc.typeArticleen_US

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