  Reformulated uniform asymptotic expansions are derived for ordinary
differential equations having a large parameter and a simple turning point.
These involve Airy functions, but not their derivatives, unlike traditional
asymptotic expansions. From these, asymptotic expansions are derived for the
zeros of Bessel functions that are valid for large positive values of the
order, uniformly valid for all the zeros. The coefficients in the expansions
are explicitly given elementary functions, and similar expansions are derived
for the zeros of the derivatives of Bessel functions.
