Re: complex conjugation by star

• To: mathgroup at smc.vnet.net
• Subject: [mg132611] Re: complex conjugation by star
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Sun, 20 Apr 2014 04:47:35 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-outx@smc.vnet.net
• Delivered-to: mathgroup-newsendx@smc.vnet.net
• References: <20140418054638.0964A6A15@smc.vnet.net>

```I don't see how your definition can be valid. When I type input

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

I see a highlighted asterisk, indicating a syntax error.

On Apr 18, 2014, at 1:46 AM, Brambilla Roberto Luigi (RSE) <Roberto.Brambilla at rse-web.it> wrote:

> 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
>
>
>
>
Murray Eisenberg                                murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 240 246-7240 (H)
University of Massachusetts
710 North Pleasant Street
Amherst, MA 01003-9305

```

• Prev by Date: Re: complex conjugation by star
• Next by Date: boolean indexing for subset reassignment
• Previous by thread: Re: complex conjugation by star
• Next by thread: Re: complex conjugation by star