Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions

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dc.contributor.authorSilambarasan, Rathinavel
dc.contributor.authorKılıçman, Adem
dc.date.accessioned2019-08-28T20:48:10Z
dc.date.available2019-08-28T20:48:10Z
dc.date.issued2019en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractThe Sumudu transform of the Dixon elliptic function with non-zero modulus alpha not equal 0 for arbitrary powers N is given by the product of quasi C fractions. Next, by assuming the denominators of quasi C fractions as one and applying the Heliermanncorrespondence relating formal power series (Maclaurin series of the Dixon elliptic function) and the regular C fraction, the Hankel determinants are calculated for the non-zero Dixon elliptic functions and shown by taking alpha = 0 to give the Hankel determinants of the Dixon elliptic function with zero modulus. The derived results were back-tracked to the Laplace transform of Dixon elliptic functions.en_US
dc.description.sponsorshipUniversiti Putra Malaysia - 9543000en_US
dc.identifier.doi10.3390/fractalfract3020022en_US
dc.identifier.issn2504-3110
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85089852997en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://hdl.handle.net/11363/1417
dc.identifier.urihttps://doi.org/
dc.identifier.volume3en_US
dc.identifier.wosWOS:000474245900009en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLANDen_US
dc.relation.ispartofFRACTAL AND FRACTIONALen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectDixon elliptic functionsen_US
dc.subjectSumudu transformen_US
dc.subjectHankel determinantsen_US
dc.subjectcontinued fractionsen_US
dc.subjectquasi C fractionsen_US
dc.titleHankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractionsen_US
dc.typeArticleen_US

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