Belgacem F.B.M

Silambarasan R.

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

Sumudu transform of Dumont bimodular Jacobi elliptic functions for arbitrary powers

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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Fractal and Fractional

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

Discrete inverse Sumudu transform application to Whittaker and Zettl equations

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New and Extended Applications of the Natural and Sumudu Transforms: Fractional Diffusion and Stokes Fluid Flow Realms

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Sumudu Computation of the Transient Magnetic Field in a Lossy Medium

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Sumudu transform based treatment of Krawtchouk polynomials and their integral zeros

Journal of Applied Mathematics and Stochastic Analysis

Sumudu transform fundamental properties investigations andapplications

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