Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions
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...
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38395/ http://psasir.upm.edu.my/id/eprint/38395/1/38395.pdf |
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| author | Silambarasan, Rathinavel Kilicman, Adem |
| author_facet | Silambarasan, Rathinavel Kilicman, Adem |
| author_sort | Silambarasan, Rathinavel |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:41:20Z |
| format | Article |
| id | upm-38395 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:41:20Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-383952020-05-04T16:27:31Z http://psasir.upm.edu.my/id/eprint/38395/ Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions Silambarasan, Rathinavel Kilicman, Adem 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. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38395/1/38395.pdf 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 https://www.mdpi.com/2504-3110/3/2/22 10.3390/fractalfract3020022 |
| spellingShingle | Silambarasan, Rathinavel Kilicman, Adem Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
| title | Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
| title_full | Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
| title_fullStr | Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
| title_full_unstemmed | Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
| title_short | Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
| title_sort | hankel determinants of non-zero modulus dixon elliptic functions via quasi c fractions |
| url | http://psasir.upm.edu.my/id/eprint/38395/ http://psasir.upm.edu.my/id/eprint/38395/ http://psasir.upm.edu.my/id/eprint/38395/ http://psasir.upm.edu.my/id/eprint/38395/1/38395.pdf |