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On integral representation of Bessel function of the first kind
Authors:Biserka Dra&scaron  ?i?,Tibor K. Pogá  ny
Affiliation:Department of Sciences, Faculty of Maritime Studies, University of Rijeka, 51000 Rijeka, Studentska 2, Croatia
Abstract:A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of the first kind. This equation is solved by means of Mellin transform pair.
Keywords:Bessel function of the first kind   Fredholm integral equation of the first kind   Generalized Mathieu series   Mellin transform
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