Mathieu functions

Mathieu functions

[Lowell Johnson]

I noticed that Mathieu functions are on the task list.  Whoa!  I thought I 
was the only one who cared about those creatures!  Does anyone actually 
use these, or is this just part of the process of computing everything 
listed in Abramowitz & Stegun? ;)

Well, I developed Fortran versions of the angular and radial Mathieu 
functions (complex arguments) as part of my thesis back around '90.  So I 
suppose I can dust off the old code, convert it to C, and align it with 
the GSL coding standards.  I'm not sure how quickly I'll get this all 
done, so if someone wants to take my (practically uncommented) Fortran 
and do the conversion, let me know.  Otherwise, I'll pick away at it as 
time allows.

The complex radial Mathieu functions are functions of the complex Bessel 
and Hankel functions.  Does the GSL compute complex Bessel functions?  If 
not, then I'll just get the real-argument versions working.

So, let me know if anyone has a head-start on the Mathieu functions.  As I 
said, I am willing to just hand over the Fortran (which is by no means 
pretty).  Otherwise, I'll get to work on them.


    Lowell
-- 
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Lowell D. Johnson

Linux:  Bringing stability, security, and freedom to home and business
        computing since 1991.  www.linux.org

Re: Mathieu functions

[Brian Gough]

Lowell Johnson writes:
 > Well, I developed Fortran versions of the angular and radial
 > Mathieu functions (complex arguments) as part of my thesis back
 > around '90.  So I suppose I can dust off the old code, convert it
 > to C, and align it with the GSL coding standards.

This sounds ideal.  Nobody else is working on them to my knowledge.
You might want to do some searching and see if there have been any new
developments in the field since 1990.

 > I'm not sure how quickly I'll get this all done, so if someone
 > wants to take my (practically uncommented) Fortran and do the
 > conversion, let me know.  Otherwise, I'll pick away at it as time
 > allows.
 >  The complex radial Mathieu functions are functions of the complex
 > Bessel and Hankel functions.  Does the GSL compute complex Bessel
 > functions?

No. I should have added them to the task list.

Brian

Re: Mathieu functions

[Lowell Johnson]

On Sun, 11 Aug 2002, Brian Gough wrote:

> Lowell Johnson writes:
>  > Well, I developed Fortran versions of the angular and radial
>  > Mathieu functions (complex arguments) as part of my thesis back
>  > around '90.  So I suppose I can dust off the old code, convert it
>  > to C, and align it with the GSL coding standards.
> 
> This sounds ideal.  Nobody else is working on them to my knowledge.
> You might want to do some searching and see if there have been any new
> developments in the field since 1990.
[snip]

Will do.


  Lowell
-- 
---------0---------0---------0---------0---------0---------0---------0------
Lowell D. Johnson

Linux:  Bringing stability, security, and freedom to home and business
        computing since 1991.  www.linux.org