Distribution of mathematical software via electronic mail
Communications of the ACM
Algorithm 665: Machar: a subroutine to dynamically determined machine parameters
ACM Transactions on Mathematical Software (TOMS)
Performance evaluation of programs for certain Bessel functions
ACM Transactions on Mathematical Software (TOMS)
Recursive computation of certain derivatives&a study of error propagation
Communications of the ACM
Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/x
Communications of the ACM
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Algorithm 715: SPECFUN–a portable FORTRAN package of special function routines and test drivers
ACM Transactions on Mathematical Software (TOMS)
Algorithm 757: MISCFUN, a software package to compute uncommon special functions
ACM Transactions on Mathematical Software (TOMS)
Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions
ACM Transactions on Mathematical Software (TOMS)
A special-purpose compiler for look-up table and code generation for function evaluation
Proceedings of the Conference on Design, Automation and Test in Europe
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This paper discusses the use of local Taylor series expansions for determining the accuracy of computer programs for special functions. The main example is testing of programs for exponential integrals. Additional applicaitons include testing of programs for certain Bessel functions, Dawson's integral, and error functions.