R: complex conjugation by star

*To*: mathgroup at smc.vnet.net*Subject*: [mg132607] R: complex conjugation by star*From*: "Brambilla Roberto Luigi (RSE)" <Roberto.Brambilla at rse-web.it>*Date*: Sun, 20 Apr 2014 04:46:13 -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>

Dear Dave, many thanks again. Now I have the problem to tell Mathematica that same variables are reals and have not to be 'starred' so that (x+Iy+z)* is not x*+Iy*+z* but x-Iy+z* (if x and y are reals and z unknown. Command like Element[x, Reals] does not work. Sincerely yours Roberto -----Messaggio originale----- Da: Dave Snead [mailto:dsnead6 at charter.net] Inviato: venerd=EC 18 aprile 2014 09:30 A: Brambilla Roberto Luigi (RSE); mathgroup at smc.vnet.net Oggetto: Re: complex conjugation by star 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: [mg132607] 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

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