This paper is concerned with some general theorems on the distributional Stieltjes transformation. Some Abelian theorems are proved. Throughout the paper, r will denote a positive continuous function on an interval (X,=), X > 0, such that the limit lim r(pt) r(t) exists for' every p > 0. Such functions are called regularly varying fu.Lc-tions (r.v.f.) at infinity and it is well known ([ 7] that...
