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 <i>α</i> ≠ 0 for arbitrary powers <i>N</i> is given by the product of quasi C fractions. Next, by assuming the denominators of quasi C fractions as one and applying the Heliermanncorr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/3/2/22 |
| Summary: | The Sumudu transform of the Dixon elliptic function with non-zero modulus <i>α</i> ≠ 0 for arbitrary powers <i>N</i> 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 <i>α</i> = 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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| ISSN: | 2504-3110 |