dc.contributor.author | Silambarasan, Rathinavel | |
dc.contributor.author | Kılıçman, Adem | |
dc.date.accessioned | 2019-08-28T20:48:10Z | |
dc.date.available | 2019-08-28T20:48:10Z | |
dc.date.issued | 2019 | en_US |
dc.identifier.issn | 2504-3110 | |
dc.identifier.uri | https://hdl.handle.net/11363/1417 | |
dc.description.abstract | The 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.sponsorship | Universiti Putra Malaysia - 9543000 | en_US |
dc.language.iso | eng | en_US |
dc.publisher | MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND | en_US |
dc.relation.isversionof | 10.3390/fractalfract3020022 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Dixon elliptic functions | en_US |
dc.subject | Sumudu transform | en_US |
dc.subject | Hankel determinants | en_US |
dc.subject | continued fractions | en_US |
dc.subject | quasi C fractions | en_US |
dc.title | Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions | en_US |
dc.type | article | en_US |
dc.relation.ispartof | FRACTAL AND FRACTIONAL | en_US |
dc.department | Mühendislik ve Mimarlık Fakültesi | en_US |
dc.identifier.volume | 3 | en_US |
dc.identifier.issue | 2 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |