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Groups > comp.soft-sys.math.maple > #1264

Re: The Miracles of Simplification

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On Thursday, October 5, 2017 at 4:21:47 PM UTC-4, Peter Luschny wrote:
> Am Mittwoch, 4. Oktober 2017 21:57:43 UTC+2 schrieb acer:
> > I will submit a bug report.
> 
> Great! 
> 
> But do not think this is an isolated error.
> Maple is not able to compute even the most elementary
> hypergeometrics correctly. Just another one of many, 
> many I have encountered in the recent years:
> 
> T := (n,k) -> n!*hypergeom([k - n], [-n], -1);
> for n from 0 to 6 do seq(simplify(T(n,k)),k=0..n) od;


Using any of Maple 2017.0, 2017.1, or 2017.2 I get,

T := (n,k) -> n!*hypergeom([k - n], [-n], -1);

           T := (n, k) -> n! hypergeom([k - n], [-n], -1)

for n from 0 to 6 do seq(simplify(T(n,k)),k=0..n) od;

                                1
                               0, 1
                             1, 1, 2
                            2, 3, 4, 6
                         9, 11, 14, 18, 24
                      44, 53, 64, 78, 96, 120
                 265, 309, 362, 426, 504, 600, 720

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The Miracles of Simplification Peter Luschny <peter.luschny@gmail.com> - 2017-10-04 03:14 -0700
  Re: The Miracles of Simplification acer <maple@rogers.com> - 2017-10-04 12:57 -0700
    Re: The Miracles of Simplification Peter Luschny <peter.luschny@gmail.com> - 2017-10-05 13:21 -0700
      Re: The Miracles of Simplification acer <maple@rogers.com> - 2017-10-06 09:26 -0700

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