The inflection points in the title are
, the positive zeros of the second derivative of the Bessel function
. Asymptotic expansions are derived for
for fixed k. Also derived is an asymptotic expansion of
. Finally, a lower bound of
is derived for the larger k- values and values of
, which implies that
is decreasing from a certain value of k. The results are based on asymptotic expansions of the Bessel functions with error bounds, as derived by Olver.