  We derive the planar limit of 2- and 3-point functions of single-trace chiral
primary operators of ${\cal N}=2$ SQCD on $S^4$, to all orders in the 't Hooft
coupling. In order to do so, we first obtain a combinatorial expression for the
planar free energy of a hermitian matrix model with an infinite number of
arbitrary single and double trace terms in the potential; this solution might
have applications in many other contexts. We then use these results to evaluate
the analogous planar correlation functions on ${\mathbb R}^4$. Specifically, we
compute all the terms with a single value of the $\zeta$ function for a few
planar 2- and 3-point functions, and conjecture general formulas for these
terms for all 2- and 3-point functions on ${\mathbb R}^4$.
