The Abelian and Tauberian-type theorems were introduced by Stanković [7] and Pilipović et al. [5]. In the first part of this paper, we give the definition of the quasiasymptotic expansion at 0+ and the quasiasymptotic behaviour of distributions at infinity from S′+ introduced in [1]. In this paper, we give the definition of space L′(r), classical Stieltjes transformation, modified Stieltjes tra...