Silambarasan, RathinavelKılıçman, Adem2019-08-282019-08-2820192504-3110https://hdl.handle.net/11363/1417https://doi.org/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.eninfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 United StatesDixon elliptic functionsSumudu transformHankel determinantscontinued fractionsquasi C fractionsArticle3210.3390/fractalfract30200222-s2.0-85089852997Q2WOS:000474245900009N/A