On asymptotic expansion of generalized Whittaker transform

The article is devoted to the study of an asymptotic behavior of the integral transform involving the Whittaker function W ρ, γ(z) in the kernel. It is proved that has power or power-logarithmic asymptotic expansion, as λ→0+ and λ→+∞, provided that f(t) has power asymptotic behavior at infinity and zero, respectively.