Expansion of distributional kernels of the type f(λx, x), as λ → ∞

Asymptotic analysis and distribution theory are two very useful branches of Applied Mathematics. It is only recently, however, that the close ties between these theories have been studied in detail [5, 6, 11, 17]. Among the various approaches to the distributional theory of asymptotic expansions [6] gives an analysis based on the moment asymptotic expansion.