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dc.contributor.authorAndrica, Dorin
dc.contributor.authorBagdasar, Ovidiu
dc.date.accessioned2019-02-15T09:16:16Z
dc.date.available2019-02-15T09:16:16Z
dc.date.issued2019-02-13
dc.identifier.citationAndrica, D., and Bagdasar, O. (2019) ‘On some results concerning the polygonal polynomials’, Carpathian Journal of Mathematics (35)1, pp. 1-11.en_US
dc.identifier.issn1584-2851
dc.identifier.urihttp://hdl.handle.net/10545/623501
dc.description.abstractIn this paper we define the $n$th polygonal polynomial $P_n(z) = (z-1)(z^2-1)\cdots(z^n-1)$ and we investigate recurrence relations and exact integral formulae for the coefficients of $P_n(z)$ and for those of the Mahonian polynomials $Q_n(z)=(z+1)(z^2+z+1)\cdots(z^{n-1}+\cdots+z+1)$. We also explore numerical properties of these coefficients, unraveling new meanings for old sequences and generating novel entries to the Online Encyclopedia of Integer Sequences (OEIS). Some open questions are also formulated.en_US
dc.description.sponsorshipO. Bagdasar's research was supported by a grant of the Romanian National Authority for Research and Innovation, CNCS/CCCDI UEFISCDI, project number PN-III-P2-2.1-BG-2016-0333, within PNCDI III.en_US
dc.language.isoenen_US
dc.publisherTechnical University of Cluj-Napoca.en_US
dc.relation.urlhttps://www.carpathian.cunbm.utcluj.ro/accepted-papers/en_US
dc.relation.urlhttps://www.carpathian.cunbm.utcluj.ro/article/on-some-results-concerning-the-polygonal-polynomials/en_US
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectPolygonal polynomialen_US
dc.subjectCoefficientsen_US
dc.subjectPartitionsen_US
dc.subjectIntegral formulaen_US
dc.subjectRecursive formulaen_US
dc.subjectInteger sequencesen_US
dc.subjectAsymptotic formulaen_US
dc.titleOn some results concerning the polygonal polynomials.en_US
dc.typeArticleen_US
dc.identifier.eissn1843-4401
dc.contributor.departmentBabeș-Bolyai Universityen_US
dc.contributor.departmentUniversity of Derbyen_US
dc.identifier.journalCarpathian Journal of Mathematics.en_US
dc.internal.reviewer-note17.01.2019. Paper accepted 21.12.2018. Still not published. Contacted journal for archiving info. HL 22/11/2018 NYP publisher will need to be contacted about open access SER https://www.carpathian.cunbm.utcluj.ro/accepted-papers/en
dcterms.dateAccepted2018-11-03
refterms.dateFOA2019-02-15T09:16:17Z


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