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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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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