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Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions


Silambarasan, Rathinavel and Kilicman, Adem (2019) Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions. Fractal and Fractional, 3 (2). art. no. 22. pp. 1-24. ISSN 2504-3110


The Sumudu transform of the Dixon elliptic function with non-zero modulus α ≠ 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 α = 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.

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Official URL or Download Paper: https://www.mdpi.com/2504-3110/3/2/22

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/fractalfract3020022
Publisher: MDPI
Keywords: Dixon elliptic functions; Sumudu transform; Hankel determinants; Continued fractions; Quasi C fractions
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 16:27
Last Modified: 04 May 2020 16:27
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/fractalfract3020022
URI: http://psasir.upm.edu.my/id/eprint/38395
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