Re: Inverse Functions

*Subject*: [mg3239] Re: Inverse Functions*From*: john at janacek.demon.co.uk (John Tanner)*Date*: 19 Feb 1996 07:42:40 -0600*Approved*: usenet@wri.com*Distribution*: local*Newsgroups*: wri.mathgroup*Organization*: Wolfram Research, Inc.*Sender*: daemon at wri.com

In article <4fpdob$f9r at dragonfly.wolfram.com>, Julian Charko <jcharko at microage-ll.awinc.com> writes >As a relatively inexperienced user of Mathematica, could someone inform me >how to get a closed-form expression--in terms of elementary functions if >possible--for the inverse of the function > > f(x) = x^x > >Since the function is one-to-one over its domain, it does have a >mathematical inverse. > >Thank You, > >Julian P. Charko, P. Eng. > > > Because all variables are assumed as complex, there are inherently multiple solutions: for example x=I and x=-I. However, even for real cases there are multiple solutions: for example x=0 and x=1 (and points in between). I wish you luck in trying to disentangle this: you may get a specific solution for a given range but there seems not to be a general solution. More info required: you have our interest. -- I hate this 'orrible computer : from - John Tanner I really ought to sell it : home - john at janacek.demon.co.uk It never does what I want : $$$$ - 100344.3241 at compuserve.com but only what I tell it. : work - john.tanner at gecm.com