  We use methods inspired from complex Tauberian theorems to make progress in
understanding the asymptotic behavior of the magnitude of heavy-light-heavy
three point coefficients rigorously. The conditions and the precise sense of
averaging, which can lead to exponential suppression of such coefficients are
investigated. We derive various bounds for the typical average value of the
magnitude of heavy-light-heavy three point coefficients and verify them
numerically.
