Asymptotic approximations are developed for zeros of the solutions$Gi(z)$ and $Hi(z)$ ofthe inhomogeneous Airy differential equation $w''-zw=pmfrac1pi$.The solutions are also called Scorer functions.Tables are given with numerical values of the zeros

Bessel and Airy functions, cylinder functions, ${}_0F_1$ (msc 33C10), Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (msc 41A60), Approximation in the complex domain (msc 30E10), Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) (msc 30C15)
CWI
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Gil, A, Segura, J, & Temme, N.M. (2002). On the zeros of the Scorer functions. Modelling, Analysis and Simulation [MAS]. CWI.