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Re: complex conjugation by star
*To*: mathgroup at smc.vnet.net
*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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