Reconstruction of heavy quark current correlators at O(αs3)

We construct approximate formulas for the O(alpha(3)(s)) QCD contributions to vector, axial-vector, scalar and pseudo-scalar quark Current correlators, which are valid for arbitrary values of momenta and masses. The derivation is based on conformal mapping and the Pade approximation procedure and incorporates known expansions in the low energy, threshold and high energy regions. We use out results to estimate additional terms in these expansions. (C) 2009 Elsevier B.V. All rights reserved.