On the zeros of the scorer functions

Authors:
Amparo Gil;Javier Segura;Nico M. Temme
Affiliations:
Departamento de Matemáticas, U. Autónoma de Madrid, 28049-Madrid, Spain;Departamento de Matemáticas, U. Carlos III de Madrid, 28911-Leganés, Madrid, Spain;CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
Venue:
Journal of Approximation Theory
Year:
2003

Citing 3
Cited 1

On nonoscillating integrals for computing inhomogeneous airy functions

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

ACM Transactions on Mathematical Software (TOMS)
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

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

ACM Transactions on Mathematical Software (TOMS)

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Abstract

Asymptotic approximations are developed for zeros of the solutions Gi(z) and Hi(z) of the inhomogeneous Airy differential equation w" - zw = ± 1/π. The solutions are also called Scorer functions. Tables are given with numerical values of the zeros.