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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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 |
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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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Silambarasan, Rathinavel Kilicman, Adem |
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Silambarasan, Rathinavel Kilicman, Adem Hankel determinants of non-zero modulus Dixon elliptic functions via quasi C fractions |
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Silambarasan, Rathinavel Kilicman, Adem |
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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 |
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MDPI |
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2019 |
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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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