Citation
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
Abstract
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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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 |
| Statistic Details: | View Download Statistic |
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