Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions

Authors:
Amparo Gil;Javier Segura;Nico M. Temme
Affiliations:
Universidad Autönoma de Madrid, Madrid, Spain;Universidad Carlos III de Madrid, Leganés(Madrid), Spain;CWI, Amsterdam, The Netherlands
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
2002

Citing 6
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Abstract

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 [1994] is provided.