One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions
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DOI: 10.1134/s0001434618050048
Abstract: We consider integrals of the form $$I\left( {x,h} \right) = \frac{1}{{{{\left( {2\pi h} \right)}^{k/2}}}}\int_{{\mathbb{R}^k}} {f\left( {\frac{{S\left( {x,\theta } \right)}}{h},x,\theta } \right)} d\theta $$I(x,h)=1(2πh)k/2∫ℝkf(S(x,θ)h,x,θ)dθ, where h is a small positive parameter and S(x, θ) and f(τ,… read more here.
Keywords: asymptotics integrals; one approach; approach computation; computation asymptotics ... See more keywords