Sympy does at least

sage: import sympy
sage: s = sympy.gamma(1/2 + x) * gamma(1/2 - x)
sage: s.simplify()
pi/cos(pi*x)

On 30/03/2015, Alexey Muranov <alexey.mura...@gmail.com> wrote:
> I have observed that Maple software could "simplify" expressions like
> `GAMMA(1/2 + x) * GAMMA(1/2 - x)` as early as in version V release 4 or
> earlier (before 1999).  It could also "expand" `GAMMA(x + 1)` to `x *
> GAMMA(x)`.  I tried to find out if Sage or Maxima can do this, but didn't
> find anything working.
>
> Are such "simplifications" and "expansions" involving Gamma function
> available in Sage?
>
> Thank you,
>
> Alexey.
>
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