From: peter.luschny@gmail.com   
      
   Nasser, you are absolutely on the right track!   
      
   How many users of Maple/Mathematica are aware of the fact   
   that Maple and Mathematica use different definitions   
   for the hypergeometric functions? I was not aware of this   
   fact. And I wonder how many bugs are out there just because   
   it was assumed naively that both definitions are the same.   
      
   Moreover, do the docs give any hints to this fact? Shouldn't   
   there be a big warning sign? I think that the docs are   
   not mathematical precise enough to enable this insight.   
   In any case this circumstance has certainly unhealthy   
   consequences on the entire scope of applications of CASs.   
      
   I will come back to a more precise description of the   
   differences below. But for now we have seen in the above   
   discussion what the user is really confronted with when   
   he dares to use hypergeometric functions. He has to struggle   
   with the question: "Is this ... Maple's definition or   
   a Maple bug or inconsistency or Mathematica's definition   
   or a Mathematica bug or inconsistency." OK, you never know   
   and this is what I called the "Joy of CAS". We have seen all   
   four cases in the above discussion.   
      
   Recently I found a place where the differences seems to   
   be explained. Look at formulas 15.2.5 and 15.2.6 at   
   http://dlmf.nist.gov/15.2#ii   
      
   Peter   
      
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