Algorithm 822

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

This software is also peer reviewed by journal TOMS.

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References in zbMATH (referenced in 5 articles )

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  1. Gil, A.; Segura, J.; Temme, N. M.: Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis (2020)
  2. Kudenatti, Ramesh B.; Bujurke, N. M.; Pedley, T. J.: Stability of two-dimensional collapsible-channel flow at high Reynolds number (2012)
  3. Gil, Amparo; Segura, Javier; Temme, Nico M.: Basic methods for computing special functions (2011)
  4. Gil, Amparo; Segura, Javier; Temme, Nico M.: Computing special functions by using quadrature rules (2003)
  5. Gil, Amparo; Segura, Javier: Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions (2002)