#11143: define symbolic functions for exponential integrals
--------------------------------------------------+-------------------------
   Reporter:  kcrisman                            |          Owner:  
benjaminfjones                    
       Type:  defect                              |         Status:  
needs_review                      
   Priority:  major                               |      Milestone:  sage-4.7.2 
                       
  Component:  symbolics                           |       Keywords:  ei Ei 
special function maxima sd32
Work_issues:                                      |       Upstream:  N/A        
                       
   Reviewer:  Burcin Erocal, Karl-Dieter Crisman  |         Author:  Benjamin 
Jones                    
     Merged:                                      |   Dependencies:  #11513, 
#11885                    
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Comment(by benjaminfjones):

 @kcrisman - Yes, thanks, I just spotted that typo in the docstring for
 `exp_integral_li` while I was commenting on the other tickets you cc'd me
 on.

 The function names are long. I wanted to choose a common prefix for all
 the exponential integrals. I think burcin suggested `exp_integral`
 originally. I think the problem with `li` and `Li`, or `En` and `Ei`,
 etc.. is that the name is very short and not very informative unless you
 are familiar with all the different varieties of standard exponential
 integrals. Also, I think the short two-letter names would be easy to mix
 up, especially `li` and `Li`. Yes, you're right, the difference between
 those logarithmic integrals is the constant `\int_0^2 1/log(t) dt`.

 I made some comments on #7357 and #3401. Basically, I think it makes sense
 to roll the issues in those two tickets into this one since this one is an
 overhaul of the exponential integral functions with the aim to make them
 all symbolic and organize them in the same module.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11143#comment:32>
Sage <http://www.sagemath.org>
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