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MathGroup Archive 2007

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Mathematica 6(66!)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg75830] Mathematica 6(66!)
  • From: dimitris <dimmechan at yahoo.com>
  • Date: Fri, 11 May 2007 05:35:00 -0400 (EDT)

Hello.

There some packages and utilities from MathWorld.com
One of these packages is Eric Weisstein's SpecialFunctions.m

Does Mathematica 6 has implementated this package or something
similar?

In another CAS there is one built in function called FunctionAdvisor.

(*information and examples follows now*)

FunctionAdvisor();
The usage is as follows:

    > FunctionAdvisor( topic, function, ... );

where 'topic' indicates the subject on which advice is required,
'function' is the name of a function, and '...' represents
possible additional input depending on the 'topic' chosen. To list the
possible topics:

    > FunctionAdvisor( topics );

A short form usage,

    > FunctionAdvisor( function );

with just the name of the function is also available and displays a
summary of information about the function.

(*For example*)

> FunctionAdvisor( integral_form, ln);

                           z
                          /
                         |    1
               [ln(z) =  |   --- d_k1, And(Not(z < 0))]
                         |   _k1
                        /
                          1

> FunctionAdvisor( sum_form, tan);

  [tan(z) =

        infinity
         -----                        _k1  (2 _k1 - 1)   _k1     _k1
          \      bernoulli(2 _k1) (-1)    z            (4    - 16   )
           )     ----------------------------------------------------
          /                        GAMMA(1 + 2 _k1)
         -----
        _k1 = 1

                       Pi
        , And(| z | < ----)]
                       2

> FunctionAdvisor( branch_cuts, dilog);

                          [dilog(z), z < 0]

(cf. Cheb-Terrab, E.S. "The function wizard project: A Computer
Algebra Handbook of Special Functions".)

Does Mathematica 6 contain something similar? If not, are any plans in
future versions?

Thanks
Dimitris



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