  The Airy function Ai(z) and its derivative Ai'(z) occur in a large number of
applications in Chemistry and Physics. As a result, there is a continuing
interest in the properties of these functions. Recently, there has been
interest in obtaining general expressions for the higher derivatives of these
functions. In this work, general expressions for the polynomials which are
contained in these derivatives are given in terms of the partial Bell
polynomials.
