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Re: complex conjugation by star

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  • Subject: [mg132606] Re: complex conjugation by star
  • From: "Dave Snead" <dsnead6 at charter.net>
  • Date: Sun, 20 Apr 2014 04:45:53 -0400 (EDT)
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Rob --

This will give you what you want:

SuperStar[f_?NumberQ]:=Conjugate[f]
SuperStar[f:_[___]]:=SuperStar/@f

Cheers,
Dave Snead

-----Original Message----- 
From: Brambilla Roberto Luigi (RSE)
Sent: Thursday, April 17, 2014 10:46 PM
To: mathgroup at smc.vnet.net
Subject: [mg132606] complex conjugation by star

I have defined the following useful star complex-conjugation (common star 
exponent notation)

   f_*:=f/.Complex[u_,v_]->Complex[u,-v]

and it works fine. For example BesselJ[2,x+I y]* gives BesselJ[2,x-I y] 
etc...(x,y defined/undefined).
Also it is listable on number lists

{1+i2, 5+i6}*  gives  {1-i2, 5-i6} .

Unfortunately it does not work on symbols, i.e.
A* gives A even if I have defined A as a complex number by means of 
Element[A, Complexes].
Similarly if I define Element[{A,B,G}, Complexes]

{A,B,G}* gives {A,B,G}  and (A+B+G)*  gives A+B+G.

I'd like to obtain {A*,B*,G*} and A*+B*+G*    ( ! )

Is it possible to fix this deficiency, unpleasant in manipulating general 
expressions where is not known
if symbols represent real or complex variables ?

Many thanks!
Rob




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