Lambert W function?



Oops... I should have read the docs first :-)


Viktor
 

-----Original Message-----
From: Barton Willis [mailto:willisb at unk.edu] 
Sent: Tuesday, May 20, 2008 2:11 PM
To: Viktor T. Toth; 'Oliver Kullmann'
Cc: maxima at math.utexas.edu
Subject: Re: [Maxima] Lambert W function?

The function "lambert_w" is new to 5.15.0 (thanks due to Raymond and 
Stavros).
The solve doesn't know about lambert_w. So far, lambert_w evaluates for
doubles (but not big floats):

(%i5) lambert_w(5.60);
(%o5) 1.392014569377103
(%i6) diff(lambert_w(x),x);
(%o6) %e^(-lambert_w(x))/(lambert_w(x)+1)
(%i9) taylor(lambert_w(x),x,0,4);
(%o9) x-x^2+(3*x^3)/2-(8*x^4)/3+...

Barton