  In a recent letter (EPL, 104 (2013) 60003) we suggested a way to avoid
divergences inherent to the formulation of nonextensive statistical mechanics.
They can be eliminated via the use of a q-Laplace transformation, which was
illustrated for the case of the harmonic oscillator. Lutsko and Boon now
contend, in an interesting comment, that our new formulation raises questions
that they carefully discuss. Here we elaborate an explanation of the contents
of (EPL, 104 (2013) 60003) that permits to appreciate our original Letter in a
more positive fashion.
