Re: complex conjugation by star

*To*: mathgroup at smc.vnet.net*Subject*: [mg132613] Re: complex conjugation by star*From*: "Kevin J. McCann" <kjm at KevinMcCann.com>*Date*: Mon, 21 Apr 2014 05:11:04 -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> <lj01jl$s5h$1@smc.vnet.net>

I have used the following for many years Clear[x, aaa, bbb] SuperStar[x_] := x /. Complex[aaa_, bbb_] -> Complex[aaa, -bbb] (The SuperStar[x_] translates to x_^*) No problems. Also, no highlighted asterisk. Kevin On 4/20/2014 4:47 AM, Murray Eisenberg wrote: > 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 > > > > > > >

**References**:**complex conjugation by star***From:*"Brambilla Roberto Luigi (RSE)" <Roberto.Brambilla@rse-web.it>