Asymptotics of a class of integrals
Ramm, A. G.
Original · EN
Consider an integral I(s):=∫₀ᵗ e-s(x²-icx)dx, where c>0 and T>0 are arbitrary positive constants. It is proved that I(s) i/sc as s→ +∞. The asymptotic behavior of the integral J(s):=∫₀ᵗes(x²+icx)dx is also derived. One has J(s) esT²+iscTs(2T+ic) as s→ +∞.
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