Rathinavel Silambarasan

Silambarasan R

Kottakkaran Sooppy NisaR

Nisar K.S

Fethi Bin Muhammad Belgacem

Belgacem F.B.M.

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

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.

Fulltext

Fractal and Fractional

Hankel Determinants of Non-Zero Modulus Dixon Elliptic Functions via Quasi C Fractions

Journal of Computational and Applied Mathematics

A distinctive Sumudu treatment of trigonometric functions

Further distinctive investigations of the Sumudu transform

Sumudu transform of Dumont bimodular Jacobi elliptic functions for arbitrary powers

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