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MathGroup Archive 1997

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Special Functions

  • To: mathgroup at
  • Subject: [mg6466] Special Functions
  • From: dwarf at (Dwarf)
  • Date: Sun, 23 Mar 1997 13:22:48 -0500 (EST)
  • Organization: University of Maryland, College Park, MD
  • Sender: owner-wri-mathgroup at

Hi all!

I'm hoping that someone out there has come across mma packages which have
certain special functions built-in.  Specifically:

The Graetz function (eigenfunction for the ODE
R''[r]+R'[r]/r+lambda (1-r^2)R[r]==0, where lambda is an eigenvalue)

Certain equations of state for typical thermodynamic cycle working fluids
(water, ammonia, etc. . .)

The graetz fn I cannot find anywhere.  The state equations are
available through another mathematics-type program, but with as much time
as I have spend learning mma and matlab. I don't really want to go for a

Can anyone help point me towards any packages which might help (even with
commercial packages), or can anyone suggest how I might go about setting
something like this up?


|                            |    Good things come in small packages,
|   Greg Anderson            |    but big things don't, unless they're
|   dwarf at        |    inflatable or require some assembly.
|   timbwolf at     |   
|                            |   -- The Tick

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