FourierSinTransform

*To*: mathgroup at smc.vnet.net*Subject*: [mg70288] FourierSinTransform*From*: dimmechan at yahoo.com*Date*: Wed, 11 Oct 2006 01:54:25 -0400 (EDT)

Consider the following function h[j_] := Sqrt[1 + l^2*j^2]/j Then (the integral exists in the Hadamard sense) FourierSinTransform[h[j], j, x] -(MeijerG[{{1}, {}}, {{-(1/2), 1/2}, {0}}, x^2/(4*l^2)]/(2*Sqrt[2*Pi])) Also FullSimplify[FourierSinTransform[%, x, j], {l > 0, j > 0}] Sqrt[l^2 + 1/j^2] Can I trust the first result? Thanks in adance for any response.