Two Fortran 77 routines for the evaluation of Scorer functions of complex arguments $Gi(z)$, $Hi(z)$ and their derivatives are presented. The routines are based on the use of quadrature, Maclaurin series and asymptotic expansions. For real $z$ comparison with a previous code by A.J. MacLeod (J. Comput. Appl. Math. 53 (1994)) is provided.

Bessel and Airy functions, cylinder functions, ${}_0F_1$ (msc 33C10), Computation of special functions, construction of tables (msc 65D20), Quadrature and cubature formulas (msc 65D32), Approximation in the complex domain (msc 30E10)
CWI
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Gil, A, Segura, J, & Temme, N.M. (2002). GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions. Modelling, Analysis and Simulation [MAS]. CWI.