#11888: Sage is missing the lambert_w function
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   Reporter:  benjaminfjones                                                    
  |          Owner:  burcin                                      
       Type:  defect                                                            
  |         Status:  needs_review                                
   Priority:  minor                                                             
  |      Milestone:  sage-5.0                                    
  Component:  symbolics                                                         
  |       Keywords:  lambert_w symbolics conversion maxima sd35.5
Work_issues:                                                                    
  |       Upstream:  N/A                                         
   Reviewer:  Keshav Kini, Karl-Dieter Crisman, Fredrik Johansson, Burcin 
Erocal  |         Author:  Benjamin Jones                              
     Merged:                                                                    
  |   Dependencies:  #9130                                       
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Changes (by burcin):

  * reviewer:  Keshav Kini, Karl-Dieter Crisman, Fredrik Johansson =>
               Keshav Kini, Karl-Dieter Crisman, Fredrik
               Johansson, Burcin Erocal


Comment:

 Do we really want to call this function `lambert_w_branch()`? Can we name
 it `lambert_w()`? I would even suggest to add custom printing methods
 (`_print_()` and `_print_latex_()`) to avoid printing the branch argument
 if it is 0.

 If the function is named lambert_w, you can remove the wrapper function
 `lambert_w()` and the manual manipulation of the symbol table. In this
 case, a custom `__call__()` method would take the place of the wrapper
 method.

 BTW, we should either open a new ticket to add known exact evaluations to
 `_eval_()` or do this here:
  - 0 -> 0
  - e -> 1
  - -1/e -> -1

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11888#comment:28>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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