Explicit Error Terms for Asymptotic Expansions of Mellin Convolutions

Explicit expressions are derived for the error terms associated with the asymptotic expansions of the convolution integral , where h(t) and f(t) are algebraically dominated at both 0⁺ and + ∞. Examples included are Fourier, Bessel, generalized Stieltjes, Hilbert and “potential” transforms.