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A confluent hypergeometric integral equation

1982
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Glasgow Mathematical Journal
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Introduction. Recently there have appeared papers ([7], [8]; also see [9] ) in which integral equations with kernels involving the confluent hypergeometric function i F i ( a ; c ; z ) = Aw:^' where {a)n= have been studied. These equations are mainly Volterra equations of the first kind except that they have infinite domain (0, °°). The rest are of the related type with integrals over (x, °°) instead of (0, x); and all are convolution equations. The equation solved in this paper is a Fredholm

doi:10.1017/s0017089500004766
fatcat:47rgfpbzv5hinn227gyutnz2nu