Sumudu transform of Dumont bimodular Jacobi elliptic functions for arbitrary powers

Abstract

The Sumudu transform is applied to arbitrary powers Dumont bimodular Jacobi elliptic functions. The resulting three term recurrence relations are expanded as product of associated continued fraction. From the coefficients of continued fractions, Hankel determinants are calculated. With already established modular transformation, The Sumudu transform of traditional Jacobi elliptic functions for arbitrary powers along with Sumudu transform of sec(x) and tan(x) are obtained along with their Hankel determinants.