clicliclic@freenet.de schrieb:   
   >   
   > Let m,n be nonnegative integer numbers. The condition m 2F1(a,-m;-n;z) to make sense follows from the series definition: the   
   > hypergeometric series breaks off after the term involving z^(-n), and   
   > terms must not become infinite up to that point. The condition   
   > naturally extends to m=n with 2F1(a,-n;-n;z) = 1F0(a;z), which remains   
   > an infinite series, however. There is no reason for Maple not to   
   > implement this case too, for any pFq.   
   >   
      
   I should have looked more carefully: Maple seems to be doing just that,   
   so that its hypergeom([1,-n],[-n],.5) ---> 2 would be a perfectly valid   
   choice, whereas Mathematica seems to be doing something else, presumably   
   equally valid. My guess is that analytic continuation here depends on   
   the direction along which the point (-m,-n) is approached in (b,c)   
   space.   
      
   Martin.   
      
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