TY - JOUR
T1 - Explicit error terms for asymptotic expansions of Mellin convolutions
AU - Wong, R.
PY - 1979/12
Y1 - 1979/12
N2 - Explicit expressions are derived for the error terms associated with the asymptotic expansions of the convolution integral I(λ) = ∝0
∞ f{hook}(t) h(λt) dt, where h(t) and f{hook}(t) are algebraically dominated at both 0+ and + ∞. Examples included are Fourier, Bessel, generalized Stieltjes, Hilbert and "potential" transforms. © 1979.
AB - Explicit expressions are derived for the error terms associated with the asymptotic expansions of the convolution integral I(λ) = ∝0
∞ f{hook}(t) h(λt) dt, where h(t) and f{hook}(t) are algebraically dominated at both 0+ and + ∞. Examples included are Fourier, Bessel, generalized Stieltjes, Hilbert and "potential" transforms. © 1979.
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U2 - 10.1016/0022-247X(79)90261-0
DO - 10.1016/0022-247X(79)90261-0
M3 - RGC 21 - Publication in refereed journal
SN - 0022-247X
VL - 72
SP - 740
EP - 756
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -