On Integral Representation of First Kind Bessel Function

Draščić, Biserka and Pogány, Tibor K (2004) On Integral Representation of First Kind Bessel Function. Research report collection, 7 (3).

Abstract

A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of first kind. This equation is solved by means of Mellin transform pair.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17171
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Historical > FOR Classification > 0102 Applied Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Bessel function of first kind, Fredholm integral equation of the first kind, generalized Mathieu series, Mellin transform
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