[J3] More Bessel functions

Steven G. Kargl kargl at uw.edu
Tue Jan 19 19:11:49 UTC 2021

On Tue, Jan 19, 2021 at 10:45:22AM -0800, Van Snyder via J3 wrote:
> On Tue, 2021-01-19 at 16:38 +0000, Nathan Sircombe via J3 wrote:
> > They’re not implemented in libm as far as I can tell -
> > 
> > https://www.gnu.org/software/libc/manual/html_node/Special-Functions.html
> > 
> > …so you don’t get them ‘for free’, although GSL has an
> > implementation.
> There are more things in heaven and earth, Horatio, than are dreamt of
> in your philosophy.
> There are more sources of freely-available reliable mathematical
> software than libm.

Isn't your second sentence an argument against adding 
these functions to the Fortran standard?

As Bill points out, Abramowitz and Stegun is a rather thick
book on special functions.  It is now updated and available
for free at https://dlmf.nist.gov.  The NIST site contains links
to software, e.g., https://dlmf.nist.gov/10.77.  Should the
Fortran standard include all of the functions covered by NIST?


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