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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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Main Authors: Silambarasan, Rathinavel, Kilicman, Adem
Format: Article
Language:English
Published: MDPI 2019
Online Access:http://psasir.upm.edu.my/id/eprint/38395/1/38395.pdf
http://psasir.upm.edu.my/id/eprint/38395/
https://www.mdpi.com/2504-3110/3/2/22
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Silambarasan, Rathinavel
Kilicman, Adem
spellingShingle Silambarasan, Rathinavel
Kilicman, Adem
Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions
author_facet Silambarasan, Rathinavel
Kilicman, Adem
author_sort Silambarasan, Rathinavel
title 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_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_sort hankel determinants of non-zero modulus dixon elliptic functions via quasi c fractions
publisher MDPI
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/38395/1/38395.pdf
http://psasir.upm.edu.my/id/eprint/38395/
https://www.mdpi.com/2504-3110/3/2/22
_version_ 1665895982162771968
score 13.211869

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