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A new integral transform and associated distributions
Journal article   Peer reviewed

A new integral transform and associated distributions

Hassan Eltayeb, Adem Kilicman and Brian Fisher
Integral transforms and special functions, Vol.21(5), pp.367-379
05/2010
DOI: https://doi.org/10.1080/10652460903335061

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions.

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