An initial (final) value Abelian theorem concerning transforms of functions is a result in which known behavior of the function as its domain variable approaches zero (approaches ∞ ) is used to infer the behavior of the transform as its domain variable approaches zero (approaches ∞ ). We obtain such theorems in this paper concerning the Stieltjes transform. In our results all parameters are complex; the variable s of the transform is complex in the right half plane; and the initial (final) value Abelian theorems are obtained as | s | → 0 ( | s | → ∞ ) within an arbitrary wedge in the right half plane.